graph
stringlengths 50
311
| messages_l0
listlengths 2
2
| messages_l1
listlengths 2
2
| messages_l2
listlengths 2
2
| messages_l3
listlengths 2
2
| messages_l4
listlengths 2
2
| messages_l5
listlengths 2
2
|
|---|---|---|---|---|---|---|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,52],[0,2,18],[0,3,17],[1,2,26],[1,3,34],[2,3,41]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,2,18],[0,3,17],[1,2,26],[1,3,34],[2,3,41]]}",
"role": "user"
},
{
"content": "{\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,2,18],[0,3,17],[1,2,26],[1,3,34],[2,3,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,2,18],[0,3,17],[1,2,26],[1,3,34],[2,3,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=17, w=17\",\"Add (0,2)=18, w=35\",\"Add (1,2)=26, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,2,18],[0,3,17],[1,2,26],[1,3,34],[2,3,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=17 Succeeded, w=17\",\"Add (0,2)=18 Succeeded, w=35\",\"Add (1,2)=26 Succeeded, w=61\",\"Add (1,3)=34 Failed, w=61\",\"Add (2,3)=41 Failed, w=61\",\"Add (0,1)=52 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,2,18],[0,3,17],[1,2,26],[1,3,34],[2,3,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=17,(0,2)=18,(1,2)=26,(1,3)=34,(2,3)=41,(0,1)=52]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=17\",\"Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=35\",\"Find(1)=1, Find(2)=0, Add (1,2)=26 Succeeded, w=61\",\"Find(1)=0, Find(3)=0, Add (1,3)=34 Failed, w=61\",\"Find(2)=0, Find(3)=0, Add (2,3)=41 Failed, w=61\",\"Find(0)=0, Find(1)=0, Add (0,1)=52 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,2,18],[0,3,17],[1,2,26],[1,3,34],[2,3,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=17,(0,2)=18,(1,2)=26,(1,3)=34,(2,3)=41,(0,1)=52]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=35\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(2)=0, Add (1,2)=26 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=34 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=41 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=52 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,66],[0,2,20],[0,3,5],[0,4,61],[0,5,80],[1,2,12],[1,3,26],[1,4,37],[1,5,32],[2,4,62],[2,5,40],[3,5,42],[4,5,35]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,66],[0,2,20],[0,3,5],[0,4,61],[0,5,80],[1,2,12],[1,3,26],[1,4,37],[1,5,32],[2,4,62],[2,5,40],[3,5,42],[4,5,35]]}",
"role": "user"
},
{
"content": "{\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,66],[0,2,20],[0,3,5],[0,4,61],[0,5,80],[1,2,12],[1,3,26],[1,4,37],[1,5,32],[2,4,62],[2,5,40],[3,5,42],[4,5,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (0,2)\",\"Add (1,5)\",\"Add (4,5)\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,66],[0,2,20],[0,3,5],[0,4,61],[0,5,80],[1,2,12],[1,3,26],[1,4,37],[1,5,32],[2,4,62],[2,5,40],[3,5,42],[4,5,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=5, w=5\",\"Add (1,2)=12, w=17\",\"Add (0,2)=20, w=37\",\"Add (1,5)=32, w=69\",\"Add (4,5)=35, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,66],[0,2,20],[0,3,5],[0,4,61],[0,5,80],[1,2,12],[1,3,26],[1,4,37],[1,5,32],[2,4,62],[2,5,40],[3,5,42],[4,5,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=5 Succeeded, w=5\",\"Add (1,2)=12 Succeeded, w=17\",\"Add (0,2)=20 Succeeded, w=37\",\"Add (1,3)=26 Failed, w=37\",\"Add (1,5)=32 Succeeded, w=69\",\"Add (4,5)=35 Succeeded, w=104\",\"Add (1,4)=37 Failed, w=104\",\"Add (2,5)=40 Failed, w=104\",\"Add (3,5)=42 Failed, w=104\",\"Add (0,4)=61 Failed, w=104\",\"Add (2,4)=62 Failed, w=104\",\"Add (0,1)=66 Failed, w=104\",\"Add (0,5)=80 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,66],[0,2,20],[0,3,5],[0,4,61],[0,5,80],[1,2,12],[1,3,26],[1,4,37],[1,5,32],[2,4,62],[2,5,40],[3,5,42],[4,5,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=5,(1,2)=12,(0,2)=20,(1,3)=26,(1,5)=32,(4,5)=35,(1,4)=37,(2,5)=40,(3,5)=42,(0,4)=61,(2,4)=62,(0,1)=66,(0,5)=80]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=5\",\"Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=17\",\"Find(0)=0, Find(2)=1, Add (0,2)=20 Succeeded, w=37\",\"Find(1)=0, Find(3)=0, Add (1,3)=26 Failed, w=37\",\"Find(1)=0, Find(5)=5, Add (1,5)=32 Succeeded, w=69\",\"Find(4)=4, Find(5)=0, Add (4,5)=35 Succeeded, w=104\",\"Find(1)=0, Find(4)=0, Add (1,4)=37 Failed, w=104\",\"Find(2)=0, Find(5)=0, Add (2,5)=40 Failed, w=104\",\"Find(3)=0, Find(5)=0, Add (3,5)=42 Failed, w=104\",\"Find(0)=0, Find(4)=0, Add (0,4)=61 Failed, w=104\",\"Find(2)=0, Find(4)=0, Add (2,4)=62 Failed, w=104\",\"Find(0)=0, Find(1)=0, Add (0,1)=66 Failed, w=104\",\"Find(0)=0, Find(5)=0, Add (0,5)=80 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,66],[0,2,20],[0,3,5],[0,4,61],[0,5,80],[1,2,12],[1,3,26],[1,4,37],[1,5,32],[2,4,62],[2,5,40],[3,5,42],[4,5,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=5,(1,2)=12,(0,2)=20,(1,3)=26,(1,5)=32,(4,5)=35,(1,4)=37,(2,5)=40,(3,5)=42,(0,4)=61,(2,4)=62,(0,1)=66,(0,5)=80]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(2)=1, Add (0,2)=20 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 4, 5: 5}, Find(1)=0, Find(3)=0, Add (1,3)=26 Failed, w=37\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 4, 5: 0}, Find(1)=0, Find(5)=5, Add (1,5)=32 Succeeded, w=69\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0}, Find(4)=4, Find(5)=0, Add (4,5)=35 Succeeded, w=104\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=37 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=40 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=42 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=61 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=62 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=66 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=80 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,48],[0,2,42],[0,3,54],[0,4,66],[0,5,24],[0,6,65],[0,7,16],[1,2,48],[1,3,65],[1,4,66],[1,6,12],[1,7,94],[2,3,88],[2,4,93],[2,5,5],[2,7,15],[3,4,95],[3,5,60],[3,7,6],[4,5,87],[4,6,37],[4,7,53],[5,7,51],[6,7,60]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,2,42],[0,3,54],[0,4,66],[0,5,24],[0,6,65],[0,7,16],[1,2,48],[1,3,65],[1,4,66],[1,6,12],[1,7,94],[2,3,88],[2,4,93],[2,5,5],[2,7,15],[3,4,95],[3,5,60],[3,7,6],[4,5,87],[4,6,37],[4,7,53],[5,7,51],[6,7,60]]}",
"role": "user"
},
{
"content": "{\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,2,42],[0,3,54],[0,4,66],[0,5,24],[0,6,65],[0,7,16],[1,2,48],[1,3,65],[1,4,66],[1,6,12],[1,7,94],[2,3,88],[2,4,93],[2,5,5],[2,7,15],[3,4,95],[3,5,60],[3,7,6],[4,5,87],[4,6,37],[4,7,53],[5,7,51],[6,7,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (3,7)\",\"Add (1,6)\",\"Add (2,7)\",\"Add (0,7)\",\"Add (4,6)\",\"Add (0,1)\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,2,42],[0,3,54],[0,4,66],[0,5,24],[0,6,65],[0,7,16],[1,2,48],[1,3,65],[1,4,66],[1,6,12],[1,7,94],[2,3,88],[2,4,93],[2,5,5],[2,7,15],[3,4,95],[3,5,60],[3,7,6],[4,5,87],[4,6,37],[4,7,53],[5,7,51],[6,7,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=5, w=5\",\"Add (3,7)=6, w=11\",\"Add (1,6)=12, w=23\",\"Add (2,7)=15, w=38\",\"Add (0,7)=16, w=54\",\"Add (4,6)=37, w=91\",\"Add (0,1)=48, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,2,42],[0,3,54],[0,4,66],[0,5,24],[0,6,65],[0,7,16],[1,2,48],[1,3,65],[1,4,66],[1,6,12],[1,7,94],[2,3,88],[2,4,93],[2,5,5],[2,7,15],[3,4,95],[3,5,60],[3,7,6],[4,5,87],[4,6,37],[4,7,53],[5,7,51],[6,7,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=5 Succeeded, w=5\",\"Add (3,7)=6 Succeeded, w=11\",\"Add (1,6)=12 Succeeded, w=23\",\"Add (2,7)=15 Succeeded, w=38\",\"Add (0,7)=16 Succeeded, w=54\",\"Add (0,5)=24 Failed, w=54\",\"Add (4,6)=37 Succeeded, w=91\",\"Add (0,2)=42 Failed, w=91\",\"Add (0,1)=48 Succeeded, w=139\",\"Add (1,2)=48 Failed, w=139\",\"Add (5,7)=51 Failed, w=139\",\"Add (4,7)=53 Failed, w=139\",\"Add (0,3)=54 Failed, w=139\",\"Add (3,5)=60 Failed, w=139\",\"Add (6,7)=60 Failed, w=139\",\"Add (0,6)=65 Failed, w=139\",\"Add (1,3)=65 Failed, w=139\",\"Add (0,4)=66 Failed, w=139\",\"Add (1,4)=66 Failed, w=139\",\"Add (4,5)=87 Failed, w=139\",\"Add (2,3)=88 Failed, w=139\",\"Add (2,4)=93 Failed, w=139\",\"Add (1,7)=94 Failed, w=139\",\"Add (3,4)=95 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,2,42],[0,3,54],[0,4,66],[0,5,24],[0,6,65],[0,7,16],[1,2,48],[1,3,65],[1,4,66],[1,6,12],[1,7,94],[2,3,88],[2,4,93],[2,5,5],[2,7,15],[3,4,95],[3,5,60],[3,7,6],[4,5,87],[4,6,37],[4,7,53],[5,7,51],[6,7,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=5,(3,7)=6,(1,6)=12,(2,7)=15,(0,7)=16,(0,5)=24,(4,6)=37,(0,2)=42,(0,1)=48,(1,2)=48,(5,7)=51,(4,7)=53,(0,3)=54,(3,5)=60,(6,7)=60,(0,6)=65,(1,3)=65,(0,4)=66,(1,4)=66,(4,5)=87,(2,3)=88,(2,4)=93,(1,7)=94,(3,4)=95]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=5 Succeeded, w=5\",\"Find(3)=3, Find(7)=7, Add (3,7)=6 Succeeded, w=11\",\"Find(1)=1, Find(6)=6, Add (1,6)=12 Succeeded, w=23\",\"Find(2)=2, Find(7)=3, Add (2,7)=15 Succeeded, w=38\",\"Find(0)=0, Find(7)=2, Add (0,7)=16 Succeeded, w=54\",\"Find(0)=2, Find(5)=2, Add (0,5)=24 Failed, w=54\",\"Find(4)=4, Find(6)=1, Add (4,6)=37 Succeeded, w=91\",\"Find(0)=2, Find(2)=2, Add (0,2)=42 Failed, w=91\",\"Find(0)=2, Find(1)=1, Add (0,1)=48 Succeeded, w=139\",\"Find(1)=2, Find(2)=2, Add (1,2)=48 Failed, w=139\",\"Find(5)=2, Find(7)=2, Add (5,7)=51 Failed, w=139\",\"Find(4)=2, Find(7)=2, Add (4,7)=53 Failed, w=139\",\"Find(0)=2, Find(3)=2, Add (0,3)=54 Failed, w=139\",\"Find(3)=2, Find(5)=2, Add (3,5)=60 Failed, w=139\",\"Find(6)=2, Find(7)=2, Add (6,7)=60 Failed, w=139\",\"Find(0)=2, Find(6)=2, Add (0,6)=65 Failed, w=139\",\"Find(1)=2, Find(3)=2, Add (1,3)=65 Failed, w=139\",\"Find(0)=2, Find(4)=2, Add (0,4)=66 Failed, w=139\",\"Find(1)=2, Find(4)=2, Add (1,4)=66 Failed, w=139\",\"Find(4)=2, Find(5)=2, Add (4,5)=87 Failed, w=139\",\"Find(2)=2, Find(3)=2, Add (2,3)=88 Failed, w=139\",\"Find(2)=2, Find(4)=2, Add (2,4)=93 Failed, w=139\",\"Find(1)=2, Find(7)=2, Add (1,7)=94 Failed, w=139\",\"Find(3)=2, Find(4)=2, Add (3,4)=95 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,48],[0,2,42],[0,3,54],[0,4,66],[0,5,24],[0,6,65],[0,7,16],[1,2,48],[1,3,65],[1,4,66],[1,6,12],[1,7,94],[2,3,88],[2,4,93],[2,5,5],[2,7,15],[3,4,95],[3,5,60],[3,7,6],[4,5,87],[4,6,37],[4,7,53],[5,7,51],[6,7,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=5,(3,7)=6,(1,6)=12,(2,7)=15,(0,7)=16,(0,5)=24,(4,6)=37,(0,2)=42,(0,1)=48,(1,2)=48,(5,7)=51,(4,7)=53,(0,3)=54,(3,5)=60,(6,7)=60,(0,6)=65,(1,3)=65,(0,4)=66,(1,4)=66,(4,5)=87,(2,3)=88,(2,4)=93,(1,7)=94,(3,4)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=6 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 1, 7: 3}, Find(1)=1, Find(6)=6, Add (1,6)=12 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 1, 7: 3}, Find(2)=2, Find(7)=3, Add (2,7)=15 Succeeded, w=38\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 1, 7: 2}, Find(0)=0, Find(7)=2, Add (0,7)=16 Succeeded, w=54\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 1, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=24 Failed, w=54\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 1, 5: 2, 6: 1, 7: 2}, Find(4)=4, Find(6)=1, Add (4,6)=37 Succeeded, w=91\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 1, 5: 2, 6: 1, 7: 2}, Find(0)=2, Find(2)=2, Add (0,2)=42 Failed, w=91\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 1, 7: 2}, Find(0)=2, Find(1)=1, Add (0,1)=48 Succeeded, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 1, 7: 2}, Find(1)=2, Find(2)=2, Add (1,2)=48 Failed, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1, 5: 2, 6: 1, 7: 2}, Find(5)=2, Find(7)=2, Add (5,7)=51 Failed, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 1, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=53 Failed, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 1, 7: 2}, Find(0)=2, Find(3)=2, Add (0,3)=54 Failed, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 1, 7: 2}, Find(3)=2, Find(5)=2, Add (3,5)=60 Failed, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(6)=2, Find(7)=2, Add (6,7)=60 Failed, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(6)=2, Add (0,6)=65 Failed, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(3)=2, Add (1,3)=65 Failed, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(4)=2, Add (0,4)=66 Failed, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(4)=2, Add (1,4)=66 Failed, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(5)=2, Add (4,5)=87 Failed, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(3)=2, Add (2,3)=88 Failed, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(4)=2, Add (2,4)=93 Failed, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(7)=2, Add (1,7)=94 Failed, w=139\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(4)=2, Add (3,4)=95 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,13],[0,2,1],[0,3,15],[0,5,97],[1,2,98],[1,3,98],[1,4,82],[1,5,89],[2,3,28],[2,4,67],[2,5,40],[3,4,35]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,1],[0,3,15],[0,5,97],[1,2,98],[1,3,98],[1,4,82],[1,5,89],[2,3,28],[2,4,67],[2,5,40],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,1],[0,3,15],[0,5,97],[1,2,98],[1,3,98],[1,4,82],[1,5,89],[2,3,28],[2,4,67],[2,5,40],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (0,3)\",\"Add (3,4)\",\"Add (2,5)\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,1],[0,3,15],[0,5,97],[1,2,98],[1,3,98],[1,4,82],[1,5,89],[2,3,28],[2,4,67],[2,5,40],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1, w=1\",\"Add (0,1)=13, w=14\",\"Add (0,3)=15, w=29\",\"Add (3,4)=35, w=64\",\"Add (2,5)=40, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,1],[0,3,15],[0,5,97],[1,2,98],[1,3,98],[1,4,82],[1,5,89],[2,3,28],[2,4,67],[2,5,40],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1 Succeeded, w=1\",\"Add (0,1)=13 Succeeded, w=14\",\"Add (0,3)=15 Succeeded, w=29\",\"Add (2,3)=28 Failed, w=29\",\"Add (3,4)=35 Succeeded, w=64\",\"Add (2,5)=40 Succeeded, w=104\",\"Add (2,4)=67 Failed, w=104\",\"Add (1,4)=82 Failed, w=104\",\"Add (1,5)=89 Failed, w=104\",\"Add (0,5)=97 Failed, w=104\",\"Add (1,2)=98 Failed, w=104\",\"Add (1,3)=98 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,1],[0,3,15],[0,5,97],[1,2,98],[1,3,98],[1,4,82],[1,5,89],[2,3,28],[2,4,67],[2,5,40],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(0,1)=13,(0,3)=15,(2,3)=28,(3,4)=35,(2,5)=40,(2,4)=67,(1,4)=82,(1,5)=89,(0,5)=97,(1,2)=98,(1,3)=98]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=14\",\"Find(0)=0, Find(3)=3, Add (0,3)=15 Succeeded, w=29\",\"Find(2)=0, Find(3)=0, Add (2,3)=28 Failed, w=29\",\"Find(3)=0, Find(4)=4, Add (3,4)=35 Succeeded, w=64\",\"Find(2)=0, Find(5)=5, Add (2,5)=40 Succeeded, w=104\",\"Find(2)=0, Find(4)=0, Add (2,4)=67 Failed, w=104\",\"Find(1)=0, Find(4)=0, Add (1,4)=82 Failed, w=104\",\"Find(1)=0, Find(5)=0, Add (1,5)=89 Failed, w=104\",\"Find(0)=0, Find(5)=0, Add (0,5)=97 Failed, w=104\",\"Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=104\",\"Find(1)=0, Find(3)=0, Add (1,3)=98 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,1],[0,3,15],[0,5,97],[1,2,98],[1,3,98],[1,4,82],[1,5,89],[2,3,28],[2,4,67],[2,5,40],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(0,1)=13,(0,3)=15,(2,3)=28,(3,4)=35,(2,5)=40,(2,4)=67,(1,4)=82,(1,5)=89,(0,5)=97,(1,2)=98,(1,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=15 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5}, Find(2)=0, Find(3)=0, Add (2,3)=28 Failed, w=29\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5}, Find(3)=0, Find(4)=4, Add (3,4)=35 Succeeded, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=5, Add (2,5)=40 Succeeded, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=67 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=82 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=89 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=97 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=98 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=98 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,90],[0,3,85],[0,4,76],[1,4,19],[2,3,37],[3,4,21]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,90],[0,3,85],[0,4,76],[1,4,19],[2,3,37],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,90],[0,3,85],[0,4,76],[1,4,19],[2,3,37],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (3,4)\",\"Add (2,3)\",\"Add (0,4)\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,90],[0,3,85],[0,4,76],[1,4,19],[2,3,37],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=19, w=19\",\"Add (3,4)=21, w=40\",\"Add (2,3)=37, w=77\",\"Add (0,4)=76, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,90],[0,3,85],[0,4,76],[1,4,19],[2,3,37],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=19 Succeeded, w=19\",\"Add (3,4)=21 Succeeded, w=40\",\"Add (2,3)=37 Succeeded, w=77\",\"Add (0,4)=76 Succeeded, w=153\",\"Add (0,3)=85 Failed, w=153\",\"Add (0,2)=90 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,90],[0,3,85],[0,4,76],[1,4,19],[2,3,37],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=19,(3,4)=21,(2,3)=37,(0,4)=76,(0,3)=85,(0,2)=90]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=19 Succeeded, w=19\",\"Find(3)=3, Find(4)=1, Add (3,4)=21 Succeeded, w=40\",\"Find(2)=2, Find(3)=1, Add (2,3)=37 Succeeded, w=77\",\"Find(0)=0, Find(4)=1, Add (0,4)=76 Succeeded, w=153\",\"Find(0)=1, Find(3)=1, Add (0,3)=85 Failed, w=153\",\"Find(0)=1, Find(2)=1, Add (0,2)=90 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,90],[0,3,85],[0,4,76],[1,4,19],[2,3,37],[3,4,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=19,(3,4)=21,(2,3)=37,(0,4)=76,(0,3)=85,(0,2)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1}, Find(3)=3, Find(4)=1, Add (3,4)=21 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=2, Find(3)=1, Add (2,3)=37 Succeeded, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(4)=1, Add (0,4)=76 Succeeded, w=153\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=85 Failed, w=153\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=90 Failed, w=153\"],\"Answer\":153}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,92],[0,2,95],[0,3,47],[1,2,35],[1,3,24],[2,3,40],[2,4,72],[3,4,60]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,2,95],[0,3,47],[1,2,35],[1,3,24],[2,3,40],[2,4,72],[3,4,60]]}",
"role": "user"
},
{
"content": "{\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,2,95],[0,3,47],[1,2,35],[1,3,24],[2,3,40],[2,4,72],[3,4,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (0,3)\",\"Add (3,4)\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,2,95],[0,3,47],[1,2,35],[1,3,24],[2,3,40],[2,4,72],[3,4,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=24, w=24\",\"Add (1,2)=35, w=59\",\"Add (0,3)=47, w=106\",\"Add (3,4)=60, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,2,95],[0,3,47],[1,2,35],[1,3,24],[2,3,40],[2,4,72],[3,4,60]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=24 Succeeded, w=24\",\"Add (1,2)=35 Succeeded, w=59\",\"Add (2,3)=40 Failed, w=59\",\"Add (0,3)=47 Succeeded, w=106\",\"Add (3,4)=60 Succeeded, w=166\",\"Add (2,4)=72 Failed, w=166\",\"Add (0,1)=92 Failed, w=166\",\"Add (0,2)=95 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,2,95],[0,3,47],[1,2,35],[1,3,24],[2,3,40],[2,4,72],[3,4,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=24,(1,2)=35,(2,3)=40,(0,3)=47,(3,4)=60,(2,4)=72,(0,1)=92,(0,2)=95]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=24 Succeeded, w=24\",\"Find(1)=1, Find(2)=2, Add (1,2)=35 Succeeded, w=59\",\"Find(2)=1, Find(3)=1, Add (2,3)=40 Failed, w=59\",\"Find(0)=0, Find(3)=1, Add (0,3)=47 Succeeded, w=106\",\"Find(3)=1, Find(4)=4, Add (3,4)=60 Succeeded, w=166\",\"Find(2)=1, Find(4)=1, Add (2,4)=72 Failed, w=166\",\"Find(0)=1, Find(1)=1, Add (0,1)=92 Failed, w=166\",\"Find(0)=1, Find(2)=1, Add (0,2)=95 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,92],[0,2,95],[0,3,47],[1,2,35],[1,3,24],[2,3,40],[2,4,72],[3,4,60]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=24,(1,2)=35,(2,3)=40,(0,3)=47,(3,4)=60,(2,4)=72,(0,1)=92,(0,2)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=24 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=35 Succeeded, w=59\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(2)=1, Find(3)=1, Add (2,3)=40 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(0)=0, Find(3)=1, Add (0,3)=47 Succeeded, w=106\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=4, Add (3,4)=60 Succeeded, w=166\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=72 Failed, w=166\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=92 Failed, w=166\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=95 Failed, w=166\"],\"Answer\":166}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,68],[0,2,19],[0,3,73],[0,4,98],[1,2,31],[1,3,90],[1,4,15],[2,3,28],[3,4,87]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,68],[0,2,19],[0,3,73],[0,4,98],[1,2,31],[1,3,90],[1,4,15],[2,3,28],[3,4,87]]}",
"role": "user"
},
{
"content": "{\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,68],[0,2,19],[0,3,73],[0,4,98],[1,2,31],[1,3,90],[1,4,15],[2,3,28],[3,4,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,2)\",\"Add (2,3)\",\"Add (1,2)\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,68],[0,2,19],[0,3,73],[0,4,98],[1,2,31],[1,3,90],[1,4,15],[2,3,28],[3,4,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=15, w=15\",\"Add (0,2)=19, w=34\",\"Add (2,3)=28, w=62\",\"Add (1,2)=31, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,68],[0,2,19],[0,3,73],[0,4,98],[1,2,31],[1,3,90],[1,4,15],[2,3,28],[3,4,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=15 Succeeded, w=15\",\"Add (0,2)=19 Succeeded, w=34\",\"Add (2,3)=28 Succeeded, w=62\",\"Add (1,2)=31 Succeeded, w=93\",\"Add (0,1)=68 Failed, w=93\",\"Add (0,3)=73 Failed, w=93\",\"Add (3,4)=87 Failed, w=93\",\"Add (1,3)=90 Failed, w=93\",\"Add (0,4)=98 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,68],[0,2,19],[0,3,73],[0,4,98],[1,2,31],[1,3,90],[1,4,15],[2,3,28],[3,4,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=15,(0,2)=19,(2,3)=28,(1,2)=31,(0,1)=68,(0,3)=73,(3,4)=87,(1,3)=90,(0,4)=98]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=15 Succeeded, w=15\",\"Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=34\",\"Find(2)=0, Find(3)=3, Add (2,3)=28 Succeeded, w=62\",\"Find(1)=1, Find(2)=0, Add (1,2)=31 Succeeded, w=93\",\"Find(0)=1, Find(1)=1, Add (0,1)=68 Failed, w=93\",\"Find(0)=1, Find(3)=1, Add (0,3)=73 Failed, w=93\",\"Find(3)=1, Find(4)=1, Add (3,4)=87 Failed, w=93\",\"Find(1)=1, Find(3)=1, Add (1,3)=90 Failed, w=93\",\"Find(0)=1, Find(4)=1, Add (0,4)=98 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,68],[0,2,19],[0,3,73],[0,4,98],[1,2,31],[1,3,90],[1,4,15],[2,3,28],[3,4,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=15,(0,2)=19,(2,3)=28,(1,2)=31,(0,1)=68,(0,3)=73,(3,4)=87,(1,3)=90,(0,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1}, Find(0)=0, Find(2)=2, Add (0,2)=19 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1}, Find(2)=0, Find(3)=3, Add (2,3)=28 Succeeded, w=62\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 0, 4: 1}, Find(1)=1, Find(2)=0, Add (1,2)=31 Succeeded, w=93\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 0, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=68 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1}, Find(0)=1, Find(3)=1, Add (0,3)=73 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=87 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=90 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=98 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,96],[0,2,74],[0,3,33],[0,4,99],[0,6,75],[1,3,26],[1,4,16],[1,6,39],[2,3,81],[2,4,35],[2,5,84],[2,6,32],[3,4,98],[3,5,24],[3,6,56],[4,5,98],[4,6,26],[5,6,74]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,96],[0,2,74],[0,3,33],[0,4,99],[0,6,75],[1,3,26],[1,4,16],[1,6,39],[2,3,81],[2,4,35],[2,5,84],[2,6,32],[3,4,98],[3,5,24],[3,6,56],[4,5,98],[4,6,26],[5,6,74]]}",
"role": "user"
},
{
"content": "{\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,96],[0,2,74],[0,3,33],[0,4,99],[0,6,75],[1,3,26],[1,4,16],[1,6,39],[2,3,81],[2,4,35],[2,5,84],[2,6,32],[3,4,98],[3,5,24],[3,6,56],[4,5,98],[4,6,26],[5,6,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (3,5)\",\"Add (1,3)\",\"Add (4,6)\",\"Add (2,6)\",\"Add (0,3)\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,96],[0,2,74],[0,3,33],[0,4,99],[0,6,75],[1,3,26],[1,4,16],[1,6,39],[2,3,81],[2,4,35],[2,5,84],[2,6,32],[3,4,98],[3,5,24],[3,6,56],[4,5,98],[4,6,26],[5,6,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=16, w=16\",\"Add (3,5)=24, w=40\",\"Add (1,3)=26, w=66\",\"Add (4,6)=26, w=92\",\"Add (2,6)=32, w=124\",\"Add (0,3)=33, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,96],[0,2,74],[0,3,33],[0,4,99],[0,6,75],[1,3,26],[1,4,16],[1,6,39],[2,3,81],[2,4,35],[2,5,84],[2,6,32],[3,4,98],[3,5,24],[3,6,56],[4,5,98],[4,6,26],[5,6,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=16 Succeeded, w=16\",\"Add (3,5)=24 Succeeded, w=40\",\"Add (1,3)=26 Succeeded, w=66\",\"Add (4,6)=26 Succeeded, w=92\",\"Add (2,6)=32 Succeeded, w=124\",\"Add (0,3)=33 Succeeded, w=157\",\"Add (2,4)=35 Failed, w=157\",\"Add (1,6)=39 Failed, w=157\",\"Add (3,6)=56 Failed, w=157\",\"Add (0,2)=74 Failed, w=157\",\"Add (5,6)=74 Failed, w=157\",\"Add (0,6)=75 Failed, w=157\",\"Add (2,3)=81 Failed, w=157\",\"Add (2,5)=84 Failed, w=157\",\"Add (0,1)=96 Failed, w=157\",\"Add (3,4)=98 Failed, w=157\",\"Add (4,5)=98 Failed, w=157\",\"Add (0,4)=99 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,96],[0,2,74],[0,3,33],[0,4,99],[0,6,75],[1,3,26],[1,4,16],[1,6,39],[2,3,81],[2,4,35],[2,5,84],[2,6,32],[3,4,98],[3,5,24],[3,6,56],[4,5,98],[4,6,26],[5,6,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=16,(3,5)=24,(1,3)=26,(4,6)=26,(2,6)=32,(0,3)=33,(2,4)=35,(1,6)=39,(3,6)=56,(0,2)=74,(5,6)=74,(0,6)=75,(2,3)=81,(2,5)=84,(0,1)=96,(3,4)=98,(4,5)=98,(0,4)=99]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=16 Succeeded, w=16\",\"Find(3)=3, Find(5)=5, Add (3,5)=24 Succeeded, w=40\",\"Find(1)=1, Find(3)=3, Add (1,3)=26 Succeeded, w=66\",\"Find(4)=1, Find(6)=6, Add (4,6)=26 Succeeded, w=92\",\"Find(2)=2, Find(6)=1, Add (2,6)=32 Succeeded, w=124\",\"Find(0)=0, Find(3)=1, Add (0,3)=33 Succeeded, w=157\",\"Find(2)=1, Find(4)=1, Add (2,4)=35 Failed, w=157\",\"Find(1)=1, Find(6)=1, Add (1,6)=39 Failed, w=157\",\"Find(3)=1, Find(6)=1, Add (3,6)=56 Failed, w=157\",\"Find(0)=1, Find(2)=1, Add (0,2)=74 Failed, w=157\",\"Find(5)=1, Find(6)=1, Add (5,6)=74 Failed, w=157\",\"Find(0)=1, Find(6)=1, Add (0,6)=75 Failed, w=157\",\"Find(2)=1, Find(3)=1, Add (2,3)=81 Failed, w=157\",\"Find(2)=1, Find(5)=1, Add (2,5)=84 Failed, w=157\",\"Find(0)=1, Find(1)=1, Add (0,1)=96 Failed, w=157\",\"Find(3)=1, Find(4)=1, Add (3,4)=98 Failed, w=157\",\"Find(4)=1, Find(5)=1, Add (4,5)=98 Failed, w=157\",\"Find(0)=1, Find(4)=1, Add (0,4)=99 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,96],[0,2,74],[0,3,33],[0,4,99],[0,6,75],[1,3,26],[1,4,16],[1,6,39],[2,3,81],[2,4,35],[2,5,84],[2,6,32],[3,4,98],[3,5,24],[3,6,56],[4,5,98],[4,6,26],[5,6,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=16,(3,5)=24,(1,3)=26,(4,6)=26,(2,6)=32,(0,3)=33,(2,4)=35,(1,6)=39,(3,6)=56,(0,2)=74,(5,6)=74,(0,6)=75,(2,3)=81,(2,5)=84,(0,1)=96,(3,4)=98,(4,5)=98,(0,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 3, 6: 6}, Find(3)=3, Find(5)=5, Add (3,5)=24 Succeeded, w=40\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 3, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=26 Succeeded, w=66\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 3, 6: 1}, Find(4)=1, Find(6)=6, Add (4,6)=26 Succeeded, w=92\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3, 6: 1}, Find(2)=2, Find(6)=1, Add (2,6)=32 Succeeded, w=124\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3, 6: 1}, Find(0)=0, Find(3)=1, Add (0,3)=33 Succeeded, w=157\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=35 Failed, w=157\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=39 Failed, w=157\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=56 Failed, w=157\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=74 Failed, w=157\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=74 Failed, w=157\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=75 Failed, w=157\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=81 Failed, w=157\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=84 Failed, w=157\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=96 Failed, w=157\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=98 Failed, w=157\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=98 Failed, w=157\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=99 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,43],[0,2,36],[0,3,34],[1,2,66],[1,3,88],[2,3,1]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,43],[0,2,36],[0,3,34],[1,2,66],[1,3,88],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,43],[0,2,36],[0,3,34],[1,2,66],[1,3,88],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,3)\",\"Add (0,1)\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,43],[0,2,36],[0,3,34],[1,2,66],[1,3,88],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1, w=1\",\"Add (0,3)=34, w=35\",\"Add (0,1)=43, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,43],[0,2,36],[0,3,34],[1,2,66],[1,3,88],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=1 Succeeded, w=1\",\"Add (0,3)=34 Succeeded, w=35\",\"Add (0,2)=36 Failed, w=35\",\"Add (0,1)=43 Succeeded, w=78\",\"Add (1,2)=66 Failed, w=78\",\"Add (1,3)=88 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,43],[0,2,36],[0,3,34],[1,2,66],[1,3,88],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(0,3)=34,(0,2)=36,(0,1)=43,(1,2)=66,(1,3)=88]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Find(0)=0, Find(3)=2, Add (0,3)=34 Succeeded, w=35\",\"Find(0)=2, Find(2)=2, Add (0,2)=36 Failed, w=35\",\"Find(0)=2, Find(1)=1, Add (0,1)=43 Succeeded, w=78\",\"Find(1)=2, Find(2)=2, Add (1,2)=66 Failed, w=78\",\"Find(1)=2, Find(3)=2, Add (1,3)=88 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,43],[0,2,36],[0,3,34],[1,2,66],[1,3,88],[2,3,1]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=1,(0,3)=34,(0,2)=36,(0,1)=43,(1,2)=66,(1,3)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=1 Succeeded, w=1\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=34 Succeeded, w=35\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2}, Find(0)=2, Find(2)=2, Add (0,2)=36 Failed, w=35\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=2, Find(1)=1, Add (0,1)=43 Succeeded, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(2)=2, Add (1,2)=66 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(3)=2, Add (1,3)=88 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,50],[0,2,93],[0,3,96],[0,4,21],[1,3,61],[2,3,98],[2,4,59],[3,4,42]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[0,2,93],[0,3,96],[0,4,21],[1,3,61],[2,3,98],[2,4,59],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[0,2,93],[0,3,96],[0,4,21],[1,3,61],[2,3,98],[2,4,59],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (3,4)\",\"Add (0,1)\",\"Add (2,4)\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[0,2,93],[0,3,96],[0,4,21],[1,3,61],[2,3,98],[2,4,59],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=21, w=21\",\"Add (3,4)=42, w=63\",\"Add (0,1)=50, w=113\",\"Add (2,4)=59, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[0,2,93],[0,3,96],[0,4,21],[1,3,61],[2,3,98],[2,4,59],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=21 Succeeded, w=21\",\"Add (3,4)=42 Succeeded, w=63\",\"Add (0,1)=50 Succeeded, w=113\",\"Add (2,4)=59 Succeeded, w=172\",\"Add (1,3)=61 Failed, w=172\",\"Add (0,2)=93 Failed, w=172\",\"Add (0,3)=96 Failed, w=172\",\"Add (2,3)=98 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[0,2,93],[0,3,96],[0,4,21],[1,3,61],[2,3,98],[2,4,59],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=21,(3,4)=42,(0,1)=50,(2,4)=59,(1,3)=61,(0,2)=93,(0,3)=96,(2,3)=98]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=21 Succeeded, w=21\",\"Find(3)=3, Find(4)=0, Add (3,4)=42 Succeeded, w=63\",\"Find(0)=0, Find(1)=1, Add (0,1)=50 Succeeded, w=113\",\"Find(2)=2, Find(4)=0, Add (2,4)=59 Succeeded, w=172\",\"Find(1)=0, Find(3)=0, Add (1,3)=61 Failed, w=172\",\"Find(0)=0, Find(2)=0, Add (0,2)=93 Failed, w=172\",\"Find(0)=0, Find(3)=0, Add (0,3)=96 Failed, w=172\",\"Find(2)=0, Find(3)=0, Add (2,3)=98 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,50],[0,2,93],[0,3,96],[0,4,21],[1,3,61],[2,3,98],[2,4,59],[3,4,42]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=21,(3,4)=42,(0,1)=50,(2,4)=59,(1,3)=61,(0,2)=93,(0,3)=96,(2,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=21 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0}, Find(3)=3, Find(4)=0, Add (3,4)=42 Succeeded, w=63\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=50 Succeeded, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=2, Find(4)=0, Add (2,4)=59 Succeeded, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=61 Failed, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=93 Failed, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=96 Failed, w=172\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=98 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,6],[0,2,84],[0,3,72],[0,4,30],[1,2,24],[1,3,65],[1,4,54],[2,4,73],[3,4,98]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,2,84],[0,3,72],[0,4,30],[1,2,24],[1,3,65],[1,4,54],[2,4,73],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,2,84],[0,3,72],[0,4,30],[1,2,24],[1,3,65],[1,4,54],[2,4,73],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (0,4)\",\"Add (1,3)\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,2,84],[0,3,72],[0,4,30],[1,2,24],[1,3,65],[1,4,54],[2,4,73],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=6, w=6\",\"Add (1,2)=24, w=30\",\"Add (0,4)=30, w=60\",\"Add (1,3)=65, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,2,84],[0,3,72],[0,4,30],[1,2,24],[1,3,65],[1,4,54],[2,4,73],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=6 Succeeded, w=6\",\"Add (1,2)=24 Succeeded, w=30\",\"Add (0,4)=30 Succeeded, w=60\",\"Add (1,4)=54 Failed, w=60\",\"Add (1,3)=65 Succeeded, w=125\",\"Add (0,3)=72 Failed, w=125\",\"Add (2,4)=73 Failed, w=125\",\"Add (0,2)=84 Failed, w=125\",\"Add (3,4)=98 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,2,84],[0,3,72],[0,4,30],[1,2,24],[1,3,65],[1,4,54],[2,4,73],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=6,(1,2)=24,(0,4)=30,(1,4)=54,(1,3)=65,(0,3)=72,(2,4)=73,(0,2)=84,(3,4)=98]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=6\",\"Find(1)=0, Find(2)=2, Add (1,2)=24 Succeeded, w=30\",\"Find(0)=0, Find(4)=4, Add (0,4)=30 Succeeded, w=60\",\"Find(1)=0, Find(4)=0, Add (1,4)=54 Failed, w=60\",\"Find(1)=0, Find(3)=3, Add (1,3)=65 Succeeded, w=125\",\"Find(0)=0, Find(3)=0, Add (0,3)=72 Failed, w=125\",\"Find(2)=0, Find(4)=0, Add (2,4)=73 Failed, w=125\",\"Find(0)=0, Find(2)=0, Add (0,2)=84 Failed, w=125\",\"Find(3)=0, Find(4)=0, Add (3,4)=98 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,2,84],[0,3,72],[0,4,30],[1,2,24],[1,3,65],[1,4,54],[2,4,73],[3,4,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=6,(1,2)=24,(0,4)=30,(1,4)=54,(1,3)=65,(0,3)=72,(2,4)=73,(0,2)=84,(3,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(1)=0, Find(2)=2, Add (1,2)=24 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=30 Succeeded, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=54 Failed, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=3, Add (1,3)=65 Succeeded, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=72 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=73 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=84 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=98 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,6],[0,3,6],[1,3,38],[2,3,62]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,6],[0,3,6],[1,3,38],[2,3,62]]}",
"role": "user"
},
{
"content": "{\"Answer\":50}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,6],[0,3,6],[1,3,38],[2,3,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":50}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,6],[0,3,6],[1,3,38],[2,3,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=6, w=6\",\"Add (0,3)=6, w=12\",\"Add (1,3)=38, w=50\"],\"Answer\":50}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,6],[0,3,6],[1,3,38],[2,3,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=6 Succeeded, w=6\",\"Add (0,3)=6 Succeeded, w=12\",\"Add (1,3)=38 Succeeded, w=50\",\"Add (2,3)=62 Failed, w=50\"],\"Answer\":50}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,6],[0,3,6],[1,3,38],[2,3,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=6,(0,3)=6,(1,3)=38,(2,3)=62]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=6\",\"Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=12\",\"Find(1)=1, Find(3)=0, Add (1,3)=38 Succeeded, w=50\",\"Find(2)=0, Find(3)=0, Add (2,3)=62 Failed, w=50\"],\"Answer\":50}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,6],[0,3,6],[1,3,38],[2,3,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=6,(0,3)=6,(1,3)=38,(2,3)=62]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=38 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=62 Failed, w=50\"],\"Answer\":50}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,23],[0,2,86]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,23],[0,2,86]]}",
"role": "user"
},
{
"content": "{\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,23],[0,2,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,23],[0,2,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=23, w=23\",\"Add (0,2)=86, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,23],[0,2,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=23 Succeeded, w=23\",\"Add (0,2)=86 Succeeded, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,23],[0,2,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=23,(0,2)=86]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=23 Succeeded, w=23\",\"Find(0)=0, Find(2)=2, Add (0,2)=86 Succeeded, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,23],[0,2,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=23,(0,2)=86]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=23 Succeeded, w=23\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=86 Succeeded, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,76],[0,2,11],[0,3,11],[0,4,27],[1,2,59],[1,3,83],[1,4,90],[2,3,49],[2,4,74],[3,4,97]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,11],[0,3,11],[0,4,27],[1,2,59],[1,3,83],[1,4,90],[2,3,49],[2,4,74],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,11],[0,3,11],[0,4,27],[1,2,59],[1,3,83],[1,4,90],[2,3,49],[2,4,74],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (0,4)\",\"Add (1,2)\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,11],[0,3,11],[0,4,27],[1,2,59],[1,3,83],[1,4,90],[2,3,49],[2,4,74],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=11, w=11\",\"Add (0,3)=11, w=22\",\"Add (0,4)=27, w=49\",\"Add (1,2)=59, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,11],[0,3,11],[0,4,27],[1,2,59],[1,3,83],[1,4,90],[2,3,49],[2,4,74],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=11 Succeeded, w=11\",\"Add (0,3)=11 Succeeded, w=22\",\"Add (0,4)=27 Succeeded, w=49\",\"Add (2,3)=49 Failed, w=49\",\"Add (1,2)=59 Succeeded, w=108\",\"Add (2,4)=74 Failed, w=108\",\"Add (0,1)=76 Failed, w=108\",\"Add (1,3)=83 Failed, w=108\",\"Add (1,4)=90 Failed, w=108\",\"Add (3,4)=97 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,11],[0,3,11],[0,4,27],[1,2,59],[1,3,83],[1,4,90],[2,3,49],[2,4,74],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=11,(0,3)=11,(0,4)=27,(2,3)=49,(1,2)=59,(2,4)=74,(0,1)=76,(1,3)=83,(1,4)=90,(3,4)=97]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=11\",\"Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=22\",\"Find(0)=0, Find(4)=4, Add (0,4)=27 Succeeded, w=49\",\"Find(2)=0, Find(3)=0, Add (2,3)=49 Failed, w=49\",\"Find(1)=1, Find(2)=0, Add (1,2)=59 Succeeded, w=108\",\"Find(2)=0, Find(4)=0, Add (2,4)=74 Failed, w=108\",\"Find(0)=0, Find(1)=0, Add (0,1)=76 Failed, w=108\",\"Find(1)=0, Find(3)=0, Add (1,3)=83 Failed, w=108\",\"Find(1)=0, Find(4)=0, Add (1,4)=90 Failed, w=108\",\"Find(3)=0, Find(4)=0, Add (3,4)=97 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,76],[0,2,11],[0,3,11],[0,4,27],[1,2,59],[1,3,83],[1,4,90],[2,3,49],[2,4,74],[3,4,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=11,(0,3)=11,(0,4)=27,(2,3)=49,(1,2)=59,(2,4)=74,(0,1)=76,(1,3)=83,(1,4)=90,(3,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=27 Succeeded, w=49\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=49 Failed, w=49\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=1, Find(2)=0, Add (1,2)=59 Succeeded, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=74 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=76 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=83 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=90 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=97 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,78],[0,3,4],[0,4,0],[0,5,14],[0,6,99],[0,7,76],[1,3,28],[1,4,13],[1,6,19],[1,7,4],[2,3,10],[2,4,20],[2,7,87],[3,4,6],[3,5,87],[3,6,73],[3,7,45],[4,6,76],[4,7,82],[5,7,27],[6,7,14]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,78],[0,3,4],[0,4,0],[0,5,14],[0,6,99],[0,7,76],[1,3,28],[1,4,13],[1,6,19],[1,7,4],[2,3,10],[2,4,20],[2,7,87],[3,4,6],[3,5,87],[3,6,73],[3,7,45],[4,6,76],[4,7,82],[5,7,27],[6,7,14]]}",
"role": "user"
},
{
"content": "{\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,78],[0,3,4],[0,4,0],[0,5,14],[0,6,99],[0,7,76],[1,3,28],[1,4,13],[1,6,19],[1,7,4],[2,3,10],[2,4,20],[2,7,87],[3,4,6],[3,5,87],[3,6,73],[3,7,45],[4,6,76],[4,7,82],[5,7,27],[6,7,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,3)\",\"Add (1,7)\",\"Add (2,3)\",\"Add (1,4)\",\"Add (0,5)\",\"Add (6,7)\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,78],[0,3,4],[0,4,0],[0,5,14],[0,6,99],[0,7,76],[1,3,28],[1,4,13],[1,6,19],[1,7,4],[2,3,10],[2,4,20],[2,7,87],[3,4,6],[3,5,87],[3,6,73],[3,7,45],[4,6,76],[4,7,82],[5,7,27],[6,7,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0, w=0\",\"Add (0,3)=4, w=4\",\"Add (1,7)=4, w=8\",\"Add (2,3)=10, w=18\",\"Add (1,4)=13, w=31\",\"Add (0,5)=14, w=45\",\"Add (6,7)=14, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,78],[0,3,4],[0,4,0],[0,5,14],[0,6,99],[0,7,76],[1,3,28],[1,4,13],[1,6,19],[1,7,4],[2,3,10],[2,4,20],[2,7,87],[3,4,6],[3,5,87],[3,6,73],[3,7,45],[4,6,76],[4,7,82],[5,7,27],[6,7,14]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0 Succeeded, w=0\",\"Add (0,3)=4 Succeeded, w=4\",\"Add (1,7)=4 Succeeded, w=8\",\"Add (3,4)=6 Failed, w=8\",\"Add (2,3)=10 Succeeded, w=18\",\"Add (1,4)=13 Succeeded, w=31\",\"Add (0,5)=14 Succeeded, w=45\",\"Add (6,7)=14 Succeeded, w=59\",\"Add (1,6)=19 Failed, w=59\",\"Add (2,4)=20 Failed, w=59\",\"Add (5,7)=27 Failed, w=59\",\"Add (1,3)=28 Failed, w=59\",\"Add (3,7)=45 Failed, w=59\",\"Add (3,6)=73 Failed, w=59\",\"Add (0,7)=76 Failed, w=59\",\"Add (4,6)=76 Failed, w=59\",\"Add (0,1)=78 Failed, w=59\",\"Add (4,7)=82 Failed, w=59\",\"Add (2,7)=87 Failed, w=59\",\"Add (3,5)=87 Failed, w=59\",\"Add (0,6)=99 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,78],[0,3,4],[0,4,0],[0,5,14],[0,6,99],[0,7,76],[1,3,28],[1,4,13],[1,6,19],[1,7,4],[2,3,10],[2,4,20],[2,7,87],[3,4,6],[3,5,87],[3,6,73],[3,7,45],[4,6,76],[4,7,82],[5,7,27],[6,7,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(0,3)=4,(1,7)=4,(3,4)=6,(2,3)=10,(1,4)=13,(0,5)=14,(6,7)=14,(1,6)=19,(2,4)=20,(5,7)=27,(1,3)=28,(3,7)=45,(3,6)=73,(0,7)=76,(4,6)=76,(0,1)=78,(4,7)=82,(2,7)=87,(3,5)=87,(0,6)=99]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=0 Succeeded, w=0\",\"Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=4\",\"Find(1)=1, Find(7)=7, Add (1,7)=4 Succeeded, w=8\",\"Find(3)=0, Find(4)=0, Add (3,4)=6 Failed, w=8\",\"Find(2)=2, Find(3)=0, Add (2,3)=10 Succeeded, w=18\",\"Find(1)=1, Find(4)=0, Add (1,4)=13 Succeeded, w=31\",\"Find(0)=1, Find(5)=5, Add (0,5)=14 Succeeded, w=45\",\"Find(6)=6, Find(7)=1, Add (6,7)=14 Succeeded, w=59\",\"Find(1)=1, Find(6)=1, Add (1,6)=19 Failed, w=59\",\"Find(2)=1, Find(4)=1, Add (2,4)=20 Failed, w=59\",\"Find(5)=1, Find(7)=1, Add (5,7)=27 Failed, w=59\",\"Find(1)=1, Find(3)=1, Add (1,3)=28 Failed, w=59\",\"Find(3)=1, Find(7)=1, Add (3,7)=45 Failed, w=59\",\"Find(3)=1, Find(6)=1, Add (3,6)=73 Failed, w=59\",\"Find(0)=1, Find(7)=1, Add (0,7)=76 Failed, w=59\",\"Find(4)=1, Find(6)=1, Add (4,6)=76 Failed, w=59\",\"Find(0)=1, Find(1)=1, Add (0,1)=78 Failed, w=59\",\"Find(4)=1, Find(7)=1, Add (4,7)=82 Failed, w=59\",\"Find(2)=1, Find(7)=1, Add (2,7)=87 Failed, w=59\",\"Find(3)=1, Find(5)=1, Add (3,5)=87 Failed, w=59\",\"Find(0)=1, Find(6)=1, Add (0,6)=99 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,78],[0,3,4],[0,4,0],[0,5,14],[0,6,99],[0,7,76],[1,3,28],[1,4,13],[1,6,19],[1,7,4],[2,3,10],[2,4,20],[2,7,87],[3,4,6],[3,5,87],[3,6,73],[3,7,45],[4,6,76],[4,7,82],[5,7,27],[6,7,14]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(0,3)=4,(1,7)=4,(3,4)=6,(2,3)=10,(1,4)=13,(0,5)=14,(6,7)=14,(1,6)=19,(2,4)=20,(5,7)=27,(1,3)=28,(3,7)=45,(3,6)=73,(0,7)=76,(4,6)=76,(0,1)=78,(4,7)=82,(2,7)=87,(3,5)=87,(0,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=4 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 5, 6: 6, 7: 1}, Find(3)=0, Find(4)=0, Add (3,4)=6 Failed, w=8\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 6, 7: 1}, Find(2)=2, Find(3)=0, Add (2,3)=10 Succeeded, w=18\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(4)=0, Add (1,4)=13 Succeeded, w=31\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 0, 4: 0, 5: 1, 6: 6, 7: 1}, Find(0)=1, Find(5)=5, Add (0,5)=14 Succeeded, w=45\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 0, 4: 0, 5: 1, 6: 1, 7: 1}, Find(6)=6, Find(7)=1, Add (6,7)=14 Succeeded, w=59\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 0, 4: 0, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(6)=1, Add (1,6)=19 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(4)=1, Add (2,4)=20 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=27 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(3)=1, Add (1,3)=28 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=45 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(6)=1, Add (3,6)=73 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=76 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(6)=1, Add (4,6)=76 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(1)=1, Add (0,1)=78 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=82 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=87 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(5)=1, Add (3,5)=87 Failed, w=59\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(6)=1, Add (0,6)=99 Failed, w=59\"],\"Answer\":59}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,37],[0,2,13],[0,3,74],[0,4,31],[1,4,56],[2,3,74]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,13],[0,3,74],[0,4,31],[1,4,56],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,13],[0,3,74],[0,4,31],[1,4,56],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,4)\",\"Add (0,1)\",\"Add (0,3)\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,13],[0,3,74],[0,4,31],[1,4,56],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=13, w=13\",\"Add (0,4)=31, w=44\",\"Add (0,1)=37, w=81\",\"Add (0,3)=74, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,13],[0,3,74],[0,4,31],[1,4,56],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=13 Succeeded, w=13\",\"Add (0,4)=31 Succeeded, w=44\",\"Add (0,1)=37 Succeeded, w=81\",\"Add (1,4)=56 Failed, w=81\",\"Add (0,3)=74 Succeeded, w=155\",\"Add (2,3)=74 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,13],[0,3,74],[0,4,31],[1,4,56],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=13,(0,4)=31,(0,1)=37,(1,4)=56,(0,3)=74,(2,3)=74]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=13\",\"Find(0)=0, Find(4)=4, Add (0,4)=31 Succeeded, w=44\",\"Find(0)=0, Find(1)=1, Add (0,1)=37 Succeeded, w=81\",\"Find(1)=0, Find(4)=0, Add (1,4)=56 Failed, w=81\",\"Find(0)=0, Find(3)=3, Add (0,3)=74 Succeeded, w=155\",\"Find(2)=0, Find(3)=0, Add (2,3)=74 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,13],[0,3,74],[0,4,31],[1,4,56],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=13,(0,4)=31,(0,1)=37,(1,4)=56,(0,3)=74,(2,3)=74]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=31 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=37 Succeeded, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=56 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=3, Add (0,3)=74 Succeeded, w=155\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=74 Failed, w=155\"],\"Answer\":155}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,84],[0,2,89],[0,3,59],[0,7,33],[1,3,9],[1,5,23],[1,7,20],[3,4,86],[3,5,90],[4,5,49],[4,6,4],[4,7,66],[5,7,59],[6,7,45]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,84],[0,2,89],[0,3,59],[0,7,33],[1,3,9],[1,5,23],[1,7,20],[3,4,86],[3,5,90],[4,5,49],[4,6,4],[4,7,66],[5,7,59],[6,7,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":223}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,84],[0,2,89],[0,3,59],[0,7,33],[1,3,9],[1,5,23],[1,7,20],[3,4,86],[3,5,90],[4,5,49],[4,6,4],[4,7,66],[5,7,59],[6,7,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (1,3)\",\"Add (1,7)\",\"Add (1,5)\",\"Add (0,7)\",\"Add (6,7)\",\"Add (0,2)\"],\"Answer\":223}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,84],[0,2,89],[0,3,59],[0,7,33],[1,3,9],[1,5,23],[1,7,20],[3,4,86],[3,5,90],[4,5,49],[4,6,4],[4,7,66],[5,7,59],[6,7,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=4, w=4\",\"Add (1,3)=9, w=13\",\"Add (1,7)=20, w=33\",\"Add (1,5)=23, w=56\",\"Add (0,7)=33, w=89\",\"Add (6,7)=45, w=134\",\"Add (0,2)=89, w=223\"],\"Answer\":223}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,84],[0,2,89],[0,3,59],[0,7,33],[1,3,9],[1,5,23],[1,7,20],[3,4,86],[3,5,90],[4,5,49],[4,6,4],[4,7,66],[5,7,59],[6,7,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=4 Succeeded, w=4\",\"Add (1,3)=9 Succeeded, w=13\",\"Add (1,7)=20 Succeeded, w=33\",\"Add (1,5)=23 Succeeded, w=56\",\"Add (0,7)=33 Succeeded, w=89\",\"Add (6,7)=45 Succeeded, w=134\",\"Add (4,5)=49 Failed, w=134\",\"Add (0,3)=59 Failed, w=134\",\"Add (5,7)=59 Failed, w=134\",\"Add (4,7)=66 Failed, w=134\",\"Add (0,1)=84 Failed, w=134\",\"Add (3,4)=86 Failed, w=134\",\"Add (0,2)=89 Succeeded, w=223\",\"Add (3,5)=90 Failed, w=223\"],\"Answer\":223}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,84],[0,2,89],[0,3,59],[0,7,33],[1,3,9],[1,5,23],[1,7,20],[3,4,86],[3,5,90],[4,5,49],[4,6,4],[4,7,66],[5,7,59],[6,7,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=4,(1,3)=9,(1,7)=20,(1,5)=23,(0,7)=33,(6,7)=45,(4,5)=49,(0,3)=59,(5,7)=59,(4,7)=66,(0,1)=84,(3,4)=86,(0,2)=89,(3,5)=90]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=4 Succeeded, w=4\",\"Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=13\",\"Find(1)=1, Find(7)=7, Add (1,7)=20 Succeeded, w=33\",\"Find(1)=1, Find(5)=5, Add (1,5)=23 Succeeded, w=56\",\"Find(0)=0, Find(7)=1, Add (0,7)=33 Succeeded, w=89\",\"Find(6)=4, Find(7)=1, Add (6,7)=45 Succeeded, w=134\",\"Find(4)=4, Find(5)=4, Add (4,5)=49 Failed, w=134\",\"Find(0)=4, Find(3)=4, Add (0,3)=59 Failed, w=134\",\"Find(5)=4, Find(7)=4, Add (5,7)=59 Failed, w=134\",\"Find(4)=4, Find(7)=4, Add (4,7)=66 Failed, w=134\",\"Find(0)=4, Find(1)=4, Add (0,1)=84 Failed, w=134\",\"Find(3)=4, Find(4)=4, Add (3,4)=86 Failed, w=134\",\"Find(0)=4, Find(2)=2, Add (0,2)=89 Succeeded, w=223\",\"Find(3)=4, Find(5)=4, Add (3,5)=90 Failed, w=223\"],\"Answer\":223}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,84],[0,2,89],[0,3,59],[0,7,33],[1,3,9],[1,5,23],[1,7,20],[3,4,86],[3,5,90],[4,5,49],[4,6,4],[4,7,66],[5,7,59],[6,7,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=4,(1,3)=9,(1,7)=20,(1,5)=23,(0,7)=33,(6,7)=45,(4,5)=49,(0,3)=59,(5,7)=59,(4,7)=66,(0,1)=84,(3,4)=86,(0,2)=89,(3,5)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4, 7: 7}, Find(4)=4, Find(6)=6, Add (4,6)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 4, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 4, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=20 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 4, 7: 1}, Find(1)=1, Find(5)=5, Add (1,5)=23 Succeeded, w=56\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 4, 7: 1}, Find(0)=0, Find(7)=1, Add (0,7)=33 Succeeded, w=89\",\"Parent: {0: 1, 1: 4, 2: 2, 3: 1, 4: 4, 5: 1, 6: 4, 7: 1}, Find(6)=4, Find(7)=1, Add (6,7)=45 Succeeded, w=134\",\"Parent: {0: 1, 1: 4, 2: 2, 3: 1, 4: 4, 5: 4, 6: 4, 7: 1}, Find(4)=4, Find(5)=4, Add (4,5)=49 Failed, w=134\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4, 7: 1}, Find(0)=4, Find(3)=4, Add (0,3)=59 Failed, w=134\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(5)=4, Find(7)=4, Add (5,7)=59 Failed, w=134\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(4)=4, Find(7)=4, Add (4,7)=66 Failed, w=134\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(1)=4, Add (0,1)=84 Failed, w=134\",\"Parent: {0: 4, 1: 4, 2: 2, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(4)=4, Add (3,4)=86 Failed, w=134\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(2)=2, Add (0,2)=89 Succeeded, w=223\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(5)=4, Add (3,5)=90 Failed, w=223\"],\"Answer\":223}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,16],[0,4,21],[0,5,74],[0,6,96],[1,2,60],[1,4,73],[1,5,12],[1,7,20],[2,3,44],[2,4,15],[2,6,35],[3,4,92],[3,5,98],[3,6,45],[4,5,81],[4,6,26],[4,7,58],[5,6,19],[6,7,63]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,16],[0,4,21],[0,5,74],[0,6,96],[1,2,60],[1,4,73],[1,5,12],[1,7,20],[2,3,44],[2,4,15],[2,6,35],[3,4,92],[3,5,98],[3,6,45],[4,5,81],[4,6,26],[4,7,58],[5,6,19],[6,7,63]]}",
"role": "user"
},
{
"content": "{\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,16],[0,4,21],[0,5,74],[0,6,96],[1,2,60],[1,4,73],[1,5,12],[1,7,20],[2,3,44],[2,4,15],[2,6,35],[3,4,92],[3,5,98],[3,6,45],[4,5,81],[4,6,26],[4,7,58],[5,6,19],[6,7,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (2,4)\",\"Add (0,2)\",\"Add (5,6)\",\"Add (1,7)\",\"Add (4,6)\",\"Add (2,3)\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,16],[0,4,21],[0,5,74],[0,6,96],[1,2,60],[1,4,73],[1,5,12],[1,7,20],[2,3,44],[2,4,15],[2,6,35],[3,4,92],[3,5,98],[3,6,45],[4,5,81],[4,6,26],[4,7,58],[5,6,19],[6,7,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=12, w=12\",\"Add (2,4)=15, w=27\",\"Add (0,2)=16, w=43\",\"Add (5,6)=19, w=62\",\"Add (1,7)=20, w=82\",\"Add (4,6)=26, w=108\",\"Add (2,3)=44, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,16],[0,4,21],[0,5,74],[0,6,96],[1,2,60],[1,4,73],[1,5,12],[1,7,20],[2,3,44],[2,4,15],[2,6,35],[3,4,92],[3,5,98],[3,6,45],[4,5,81],[4,6,26],[4,7,58],[5,6,19],[6,7,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=12 Succeeded, w=12\",\"Add (2,4)=15 Succeeded, w=27\",\"Add (0,2)=16 Succeeded, w=43\",\"Add (5,6)=19 Succeeded, w=62\",\"Add (1,7)=20 Succeeded, w=82\",\"Add (0,4)=21 Failed, w=82\",\"Add (4,6)=26 Succeeded, w=108\",\"Add (2,6)=35 Failed, w=108\",\"Add (2,3)=44 Succeeded, w=152\",\"Add (3,6)=45 Failed, w=152\",\"Add (4,7)=58 Failed, w=152\",\"Add (1,2)=60 Failed, w=152\",\"Add (6,7)=63 Failed, w=152\",\"Add (1,4)=73 Failed, w=152\",\"Add (0,5)=74 Failed, w=152\",\"Add (4,5)=81 Failed, w=152\",\"Add (3,4)=92 Failed, w=152\",\"Add (0,6)=96 Failed, w=152\",\"Add (3,5)=98 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,16],[0,4,21],[0,5,74],[0,6,96],[1,2,60],[1,4,73],[1,5,12],[1,7,20],[2,3,44],[2,4,15],[2,6,35],[3,4,92],[3,5,98],[3,6,45],[4,5,81],[4,6,26],[4,7,58],[5,6,19],[6,7,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=12,(2,4)=15,(0,2)=16,(5,6)=19,(1,7)=20,(0,4)=21,(4,6)=26,(2,6)=35,(2,3)=44,(3,6)=45,(4,7)=58,(1,2)=60,(6,7)=63,(1,4)=73,(0,5)=74,(4,5)=81,(3,4)=92,(0,6)=96,(3,5)=98]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=12 Succeeded, w=12\",\"Find(2)=2, Find(4)=4, Add (2,4)=15 Succeeded, w=27\",\"Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=43\",\"Find(5)=1, Find(6)=6, Add (5,6)=19 Succeeded, w=62\",\"Find(1)=1, Find(7)=7, Add (1,7)=20 Succeeded, w=82\",\"Find(0)=2, Find(4)=2, Add (0,4)=21 Failed, w=82\",\"Find(4)=2, Find(6)=1, Add (4,6)=26 Succeeded, w=108\",\"Find(2)=2, Find(6)=2, Add (2,6)=35 Failed, w=108\",\"Find(2)=2, Find(3)=3, Add (2,3)=44 Succeeded, w=152\",\"Find(3)=2, Find(6)=2, Add (3,6)=45 Failed, w=152\",\"Find(4)=2, Find(7)=2, Add (4,7)=58 Failed, w=152\",\"Find(1)=2, Find(2)=2, Add (1,2)=60 Failed, w=152\",\"Find(6)=2, Find(7)=2, Add (6,7)=63 Failed, w=152\",\"Find(1)=2, Find(4)=2, Add (1,4)=73 Failed, w=152\",\"Find(0)=2, Find(5)=2, Add (0,5)=74 Failed, w=152\",\"Find(4)=2, Find(5)=2, Add (4,5)=81 Failed, w=152\",\"Find(3)=2, Find(4)=2, Add (3,4)=92 Failed, w=152\",\"Find(0)=2, Find(6)=2, Add (0,6)=96 Failed, w=152\",\"Find(3)=2, Find(5)=2, Add (3,5)=98 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,16],[0,4,21],[0,5,74],[0,6,96],[1,2,60],[1,4,73],[1,5,12],[1,7,20],[2,3,44],[2,4,15],[2,6,35],[3,4,92],[3,5,98],[3,6,45],[4,5,81],[4,6,26],[4,7,58],[5,6,19],[6,7,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=12,(2,4)=15,(0,2)=16,(5,6)=19,(1,7)=20,(0,4)=21,(4,6)=26,(2,6)=35,(2,3)=44,(3,6)=45,(4,7)=58,(1,2)=60,(6,7)=63,(1,4)=73,(0,5)=74,(4,5)=81,(3,4)=92,(0,6)=96,(3,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 1, 6: 6, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=15 Succeeded, w=27\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 1, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=43\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 1, 6: 1, 7: 7}, Find(5)=1, Find(6)=6, Add (5,6)=19 Succeeded, w=62\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=20 Succeeded, w=82\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 1, 6: 1, 7: 1}, Find(0)=2, Find(4)=2, Add (0,4)=21 Failed, w=82\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 1, 6: 1, 7: 1}, Find(4)=2, Find(6)=1, Add (4,6)=26 Succeeded, w=108\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 1, 6: 2, 7: 1}, Find(2)=2, Find(6)=2, Add (2,6)=35 Failed, w=108\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2, 7: 1}, Find(2)=2, Find(3)=3, Add (2,3)=44 Succeeded, w=152\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2, 7: 1}, Find(3)=2, Find(6)=2, Add (3,6)=45 Failed, w=152\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=58 Failed, w=152\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2, 7: 2}, Find(1)=2, Find(2)=2, Add (1,2)=60 Failed, w=152\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2, 7: 2}, Find(6)=2, Find(7)=2, Add (6,7)=63 Failed, w=152\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 1, 6: 2, 7: 2}, Find(1)=2, Find(4)=2, Add (1,4)=73 Failed, w=152\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=74 Failed, w=152\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(5)=2, Add (4,5)=81 Failed, w=152\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(4)=2, Add (3,4)=92 Failed, w=152\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(6)=2, Add (0,6)=96 Failed, w=152\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(5)=2, Add (3,5)=98 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,54],[0,2,80],[0,3,85],[0,4,31],[1,2,18],[1,3,89],[1,4,37],[2,3,3],[2,4,45]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,54],[0,2,80],[0,3,85],[0,4,31],[1,2,18],[1,3,89],[1,4,37],[2,3,3],[2,4,45]]}",
"role": "user"
},
{
"content": "{\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,54],[0,2,80],[0,3,85],[0,4,31],[1,2,18],[1,3,89],[1,4,37],[2,3,3],[2,4,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\",\"Add (0,4)\",\"Add (1,4)\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,54],[0,2,80],[0,3,85],[0,4,31],[1,2,18],[1,3,89],[1,4,37],[2,3,3],[2,4,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3, w=3\",\"Add (1,2)=18, w=21\",\"Add (0,4)=31, w=52\",\"Add (1,4)=37, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,54],[0,2,80],[0,3,85],[0,4,31],[1,2,18],[1,3,89],[1,4,37],[2,3,3],[2,4,45]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3 Succeeded, w=3\",\"Add (1,2)=18 Succeeded, w=21\",\"Add (0,4)=31 Succeeded, w=52\",\"Add (1,4)=37 Succeeded, w=89\",\"Add (2,4)=45 Failed, w=89\",\"Add (0,1)=54 Failed, w=89\",\"Add (0,2)=80 Failed, w=89\",\"Add (0,3)=85 Failed, w=89\",\"Add (1,3)=89 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,54],[0,2,80],[0,3,85],[0,4,31],[1,2,18],[1,3,89],[1,4,37],[2,3,3],[2,4,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(1,2)=18,(0,4)=31,(1,4)=37,(2,4)=45,(0,1)=54,(0,2)=80,(0,3)=85,(1,3)=89]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=21\",\"Find(0)=0, Find(4)=4, Add (0,4)=31 Succeeded, w=52\",\"Find(1)=2, Find(4)=0, Add (1,4)=37 Succeeded, w=89\",\"Find(2)=2, Find(4)=2, Add (2,4)=45 Failed, w=89\",\"Find(0)=2, Find(1)=2, Add (0,1)=54 Failed, w=89\",\"Find(0)=2, Find(2)=2, Add (0,2)=80 Failed, w=89\",\"Find(0)=2, Find(3)=2, Add (0,3)=85 Failed, w=89\",\"Find(1)=2, Find(3)=2, Add (1,3)=89 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,54],[0,2,80],[0,3,85],[0,4,31],[1,2,18],[1,3,89],[1,4,37],[2,3,3],[2,4,45]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(1,2)=18,(0,4)=31,(1,4)=37,(2,4)=45,(0,1)=54,(0,2)=80,(0,3)=85,(1,3)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=18 Succeeded, w=21\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=31 Succeeded, w=52\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0}, Find(1)=2, Find(4)=0, Add (1,4)=37 Succeeded, w=89\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=2, Add (2,4)=45 Failed, w=89\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(1)=2, Add (0,1)=54 Failed, w=89\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=80 Failed, w=89\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=85 Failed, w=89\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=89 Failed, w=89\"],\"Answer\":89}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,15],[0,2,8],[0,4,0],[1,2,84],[1,3,71],[1,4,74],[2,3,70],[2,4,45],[3,4,2]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,15],[0,2,8],[0,4,0],[1,2,84],[1,3,71],[1,4,74],[2,3,70],[2,4,45],[3,4,2]]}",
"role": "user"
},
{
"content": "{\"Answer\":25}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,15],[0,2,8],[0,4,0],[1,2,84],[1,3,71],[1,4,74],[2,3,70],[2,4,45],[3,4,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (3,4)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":25}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,15],[0,2,8],[0,4,0],[1,2,84],[1,3,71],[1,4,74],[2,3,70],[2,4,45],[3,4,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0, w=0\",\"Add (3,4)=2, w=2\",\"Add (0,2)=8, w=10\",\"Add (0,1)=15, w=25\"],\"Answer\":25}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,15],[0,2,8],[0,4,0],[1,2,84],[1,3,71],[1,4,74],[2,3,70],[2,4,45],[3,4,2]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0 Succeeded, w=0\",\"Add (3,4)=2 Succeeded, w=2\",\"Add (0,2)=8 Succeeded, w=10\",\"Add (0,1)=15 Succeeded, w=25\",\"Add (2,4)=45 Failed, w=25\",\"Add (2,3)=70 Failed, w=25\",\"Add (1,3)=71 Failed, w=25\",\"Add (1,4)=74 Failed, w=25\",\"Add (1,2)=84 Failed, w=25\"],\"Answer\":25}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,15],[0,2,8],[0,4,0],[1,2,84],[1,3,71],[1,4,74],[2,3,70],[2,4,45],[3,4,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(3,4)=2,(0,2)=8,(0,1)=15,(2,4)=45,(2,3)=70,(1,3)=71,(1,4)=74,(1,2)=84]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=0 Succeeded, w=0\",\"Find(3)=3, Find(4)=0, Add (3,4)=2 Succeeded, w=2\",\"Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=10\",\"Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=25\",\"Find(2)=0, Find(4)=0, Add (2,4)=45 Failed, w=25\",\"Find(2)=0, Find(3)=0, Add (2,3)=70 Failed, w=25\",\"Find(1)=0, Find(3)=0, Add (1,3)=71 Failed, w=25\",\"Find(1)=0, Find(4)=0, Add (1,4)=74 Failed, w=25\",\"Find(1)=0, Find(2)=0, Add (1,2)=84 Failed, w=25\"],\"Answer\":25}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,15],[0,2,8],[0,4,0],[1,2,84],[1,3,71],[1,4,74],[2,3,70],[2,4,45],[3,4,2]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(3,4)=2,(0,2)=8,(0,1)=15,(2,4)=45,(2,3)=70,(1,3)=71,(1,4)=74,(1,2)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0}, Find(3)=3, Find(4)=0, Add (3,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=15 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=45 Failed, w=25\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=70 Failed, w=25\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=71 Failed, w=25\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=74 Failed, w=25\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=84 Failed, w=25\"],\"Answer\":25}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,8],[0,2,57],[0,3,40],[0,4,20],[0,5,23],[0,7,28],[1,3,29],[1,5,29],[1,7,24],[2,3,63],[2,4,31],[2,5,14],[2,7,50],[3,4,58],[3,5,43],[3,6,38],[4,6,71],[4,7,76],[6,7,61]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,8],[0,2,57],[0,3,40],[0,4,20],[0,5,23],[0,7,28],[1,3,29],[1,5,29],[1,7,24],[2,3,63],[2,4,31],[2,5,14],[2,7,50],[3,4,58],[3,5,43],[3,6,38],[4,6,71],[4,7,76],[6,7,61]]}",
"role": "user"
},
{
"content": "{\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,8],[0,2,57],[0,3,40],[0,4,20],[0,5,23],[0,7,28],[1,3,29],[1,5,29],[1,7,24],[2,3,63],[2,4,31],[2,5,14],[2,7,50],[3,4,58],[3,5,43],[3,6,38],[4,6,71],[4,7,76],[6,7,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,5)\",\"Add (0,4)\",\"Add (0,5)\",\"Add (1,7)\",\"Add (1,3)\",\"Add (3,6)\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,8],[0,2,57],[0,3,40],[0,4,20],[0,5,23],[0,7,28],[1,3,29],[1,5,29],[1,7,24],[2,3,63],[2,4,31],[2,5,14],[2,7,50],[3,4,58],[3,5,43],[3,6,38],[4,6,71],[4,7,76],[6,7,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=8, w=8\",\"Add (2,5)=14, w=22\",\"Add (0,4)=20, w=42\",\"Add (0,5)=23, w=65\",\"Add (1,7)=24, w=89\",\"Add (1,3)=29, w=118\",\"Add (3,6)=38, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,8],[0,2,57],[0,3,40],[0,4,20],[0,5,23],[0,7,28],[1,3,29],[1,5,29],[1,7,24],[2,3,63],[2,4,31],[2,5,14],[2,7,50],[3,4,58],[3,5,43],[3,6,38],[4,6,71],[4,7,76],[6,7,61]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=8 Succeeded, w=8\",\"Add (2,5)=14 Succeeded, w=22\",\"Add (0,4)=20 Succeeded, w=42\",\"Add (0,5)=23 Succeeded, w=65\",\"Add (1,7)=24 Succeeded, w=89\",\"Add (0,7)=28 Failed, w=89\",\"Add (1,3)=29 Succeeded, w=118\",\"Add (1,5)=29 Failed, w=118\",\"Add (2,4)=31 Failed, w=118\",\"Add (3,6)=38 Succeeded, w=156\",\"Add (0,3)=40 Failed, w=156\",\"Add (3,5)=43 Failed, w=156\",\"Add (2,7)=50 Failed, w=156\",\"Add (0,2)=57 Failed, w=156\",\"Add (3,4)=58 Failed, w=156\",\"Add (6,7)=61 Failed, w=156\",\"Add (2,3)=63 Failed, w=156\",\"Add (4,6)=71 Failed, w=156\",\"Add (4,7)=76 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,8],[0,2,57],[0,3,40],[0,4,20],[0,5,23],[0,7,28],[1,3,29],[1,5,29],[1,7,24],[2,3,63],[2,4,31],[2,5,14],[2,7,50],[3,4,58],[3,5,43],[3,6,38],[4,6,71],[4,7,76],[6,7,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=8,(2,5)=14,(0,4)=20,(0,5)=23,(1,7)=24,(0,7)=28,(1,3)=29,(1,5)=29,(2,4)=31,(3,6)=38,(0,3)=40,(3,5)=43,(2,7)=50,(0,2)=57,(3,4)=58,(6,7)=61,(2,3)=63,(4,6)=71,(4,7)=76]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=8\",\"Find(2)=2, Find(5)=5, Add (2,5)=14 Succeeded, w=22\",\"Find(0)=0, Find(4)=4, Add (0,4)=20 Succeeded, w=42\",\"Find(0)=0, Find(5)=2, Add (0,5)=23 Succeeded, w=65\",\"Find(1)=0, Find(7)=7, Add (1,7)=24 Succeeded, w=89\",\"Find(0)=0, Find(7)=0, Add (0,7)=28 Failed, w=89\",\"Find(1)=0, Find(3)=3, Add (1,3)=29 Succeeded, w=118\",\"Find(1)=0, Find(5)=0, Add (1,5)=29 Failed, w=118\",\"Find(2)=0, Find(4)=0, Add (2,4)=31 Failed, w=118\",\"Find(3)=0, Find(6)=6, Add (3,6)=38 Succeeded, w=156\",\"Find(0)=0, Find(3)=0, Add (0,3)=40 Failed, w=156\",\"Find(3)=0, Find(5)=0, Add (3,5)=43 Failed, w=156\",\"Find(2)=0, Find(7)=0, Add (2,7)=50 Failed, w=156\",\"Find(0)=0, Find(2)=0, Add (0,2)=57 Failed, w=156\",\"Find(3)=0, Find(4)=0, Add (3,4)=58 Failed, w=156\",\"Find(6)=0, Find(7)=0, Add (6,7)=61 Failed, w=156\",\"Find(2)=0, Find(3)=0, Add (2,3)=63 Failed, w=156\",\"Find(4)=0, Find(6)=0, Add (4,6)=71 Failed, w=156\",\"Find(4)=0, Find(7)=0, Add (4,7)=76 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,8],[0,2,57],[0,3,40],[0,4,20],[0,5,23],[0,7,28],[1,3,29],[1,5,29],[1,7,24],[2,3,63],[2,4,31],[2,5,14],[2,7,50],[3,4,58],[3,5,43],[3,6,38],[4,6,71],[4,7,76],[6,7,61]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=8,(2,5)=14,(0,4)=20,(0,5)=23,(1,7)=24,(0,7)=28,(1,3)=29,(1,5)=29,(2,4)=31,(3,6)=38,(0,3)=40,(3,5)=43,(2,7)=50,(0,2)=57,(3,4)=58,(6,7)=61,(2,3)=63,(4,6)=71,(4,7)=76]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=14 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 2, 6: 6, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=20 Succeeded, w=42\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 2, 6: 6, 7: 7}, Find(0)=0, Find(5)=2, Add (0,5)=23 Succeeded, w=65\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 2, 6: 6, 7: 0}, Find(1)=0, Find(7)=7, Add (1,7)=24 Succeeded, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 2, 6: 6, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=28 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 6, 7: 0}, Find(1)=0, Find(3)=3, Add (1,3)=29 Succeeded, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=29 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 6, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=31 Failed, w=118\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(6)=6, Add (3,6)=38 Succeeded, w=156\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=40 Failed, w=156\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=43 Failed, w=156\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=50 Failed, w=156\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=57 Failed, w=156\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(4)=0, Add (3,4)=58 Failed, w=156\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=61 Failed, w=156\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=63 Failed, w=156\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=71 Failed, w=156\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=76 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,25],[0,3,91],[0,5,29],[0,6,54],[0,7,95],[1,2,62],[1,3,8],[1,4,19],[1,5,86],[1,6,37],[1,7,10],[2,3,76],[2,4,59],[2,5,93],[2,7,98],[3,4,2],[3,5,56],[3,7,80],[4,5,42],[4,6,85],[4,7,62],[5,7,78],[6,7,12]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,25],[0,3,91],[0,5,29],[0,6,54],[0,7,95],[1,2,62],[1,3,8],[1,4,19],[1,5,86],[1,6,37],[1,7,10],[2,3,76],[2,4,59],[2,5,93],[2,7,98],[3,4,2],[3,5,56],[3,7,80],[4,5,42],[4,6,85],[4,7,62],[5,7,78],[6,7,12]]}",
"role": "user"
},
{
"content": "{\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,25],[0,3,91],[0,5,29],[0,6,54],[0,7,95],[1,2,62],[1,3,8],[1,4,19],[1,5,86],[1,6,37],[1,7,10],[2,3,76],[2,4,59],[2,5,93],[2,7,98],[3,4,2],[3,5,56],[3,7,80],[4,5,42],[4,6,85],[4,7,62],[5,7,78],[6,7,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,3)\",\"Add (1,7)\",\"Add (6,7)\",\"Add (0,2)\",\"Add (0,5)\",\"Add (4,5)\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,25],[0,3,91],[0,5,29],[0,6,54],[0,7,95],[1,2,62],[1,3,8],[1,4,19],[1,5,86],[1,6,37],[1,7,10],[2,3,76],[2,4,59],[2,5,93],[2,7,98],[3,4,2],[3,5,56],[3,7,80],[4,5,42],[4,6,85],[4,7,62],[5,7,78],[6,7,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=2, w=2\",\"Add (1,3)=8, w=10\",\"Add (1,7)=10, w=20\",\"Add (6,7)=12, w=32\",\"Add (0,2)=25, w=57\",\"Add (0,5)=29, w=86\",\"Add (4,5)=42, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,25],[0,3,91],[0,5,29],[0,6,54],[0,7,95],[1,2,62],[1,3,8],[1,4,19],[1,5,86],[1,6,37],[1,7,10],[2,3,76],[2,4,59],[2,5,93],[2,7,98],[3,4,2],[3,5,56],[3,7,80],[4,5,42],[4,6,85],[4,7,62],[5,7,78],[6,7,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=2 Succeeded, w=2\",\"Add (1,3)=8 Succeeded, w=10\",\"Add (1,7)=10 Succeeded, w=20\",\"Add (6,7)=12 Succeeded, w=32\",\"Add (1,4)=19 Failed, w=32\",\"Add (0,2)=25 Succeeded, w=57\",\"Add (0,5)=29 Succeeded, w=86\",\"Add (1,6)=37 Failed, w=86\",\"Add (4,5)=42 Succeeded, w=128\",\"Add (0,6)=54 Failed, w=128\",\"Add (3,5)=56 Failed, w=128\",\"Add (2,4)=59 Failed, w=128\",\"Add (1,2)=62 Failed, w=128\",\"Add (4,7)=62 Failed, w=128\",\"Add (2,3)=76 Failed, w=128\",\"Add (5,7)=78 Failed, w=128\",\"Add (3,7)=80 Failed, w=128\",\"Add (4,6)=85 Failed, w=128\",\"Add (1,5)=86 Failed, w=128\",\"Add (0,3)=91 Failed, w=128\",\"Add (2,5)=93 Failed, w=128\",\"Add (0,7)=95 Failed, w=128\",\"Add (2,7)=98 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,25],[0,3,91],[0,5,29],[0,6,54],[0,7,95],[1,2,62],[1,3,8],[1,4,19],[1,5,86],[1,6,37],[1,7,10],[2,3,76],[2,4,59],[2,5,93],[2,7,98],[3,4,2],[3,5,56],[3,7,80],[4,5,42],[4,6,85],[4,7,62],[5,7,78],[6,7,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=2,(1,3)=8,(1,7)=10,(6,7)=12,(1,4)=19,(0,2)=25,(0,5)=29,(1,6)=37,(4,5)=42,(0,6)=54,(3,5)=56,(2,4)=59,(1,2)=62,(4,7)=62,(2,3)=76,(5,7)=78,(3,7)=80,(4,6)=85,(1,5)=86,(0,3)=91,(2,5)=93,(0,7)=95,(2,7)=98]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=2\",\"Find(1)=1, Find(3)=3, Add (1,3)=8 Succeeded, w=10\",\"Find(1)=3, Find(7)=7, Add (1,7)=10 Succeeded, w=20\",\"Find(6)=6, Find(7)=3, Add (6,7)=12 Succeeded, w=32\",\"Find(1)=3, Find(4)=3, Add (1,4)=19 Failed, w=32\",\"Find(0)=0, Find(2)=2, Add (0,2)=25 Succeeded, w=57\",\"Find(0)=0, Find(5)=5, Add (0,5)=29 Succeeded, w=86\",\"Find(1)=3, Find(6)=3, Add (1,6)=37 Failed, w=86\",\"Find(4)=3, Find(5)=0, Add (4,5)=42 Succeeded, w=128\",\"Find(0)=3, Find(6)=3, Add (0,6)=54 Failed, w=128\",\"Find(3)=3, Find(5)=3, Add (3,5)=56 Failed, w=128\",\"Find(2)=3, Find(4)=3, Add (2,4)=59 Failed, w=128\",\"Find(1)=3, Find(2)=3, Add (1,2)=62 Failed, w=128\",\"Find(4)=3, Find(7)=3, Add (4,7)=62 Failed, w=128\",\"Find(2)=3, Find(3)=3, Add (2,3)=76 Failed, w=128\",\"Find(5)=3, Find(7)=3, Add (5,7)=78 Failed, w=128\",\"Find(3)=3, Find(7)=3, Add (3,7)=80 Failed, w=128\",\"Find(4)=3, Find(6)=3, Add (4,6)=85 Failed, w=128\",\"Find(1)=3, Find(5)=3, Add (1,5)=86 Failed, w=128\",\"Find(0)=3, Find(3)=3, Add (0,3)=91 Failed, w=128\",\"Find(2)=3, Find(5)=3, Add (2,5)=93 Failed, w=128\",\"Find(0)=3, Find(7)=3, Add (0,7)=95 Failed, w=128\",\"Find(2)=3, Find(7)=3, Add (2,7)=98 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,25],[0,3,91],[0,5,29],[0,6,54],[0,7,95],[1,2,62],[1,3,8],[1,4,19],[1,5,86],[1,6,37],[1,7,10],[2,3,76],[2,4,59],[2,5,93],[2,7,98],[3,4,2],[3,5,56],[3,7,80],[4,5,42],[4,6,85],[4,7,62],[5,7,78],[6,7,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=2,(1,3)=8,(1,7)=10,(6,7)=12,(1,4)=19,(0,2)=25,(0,5)=29,(1,6)=37,(4,5)=42,(0,6)=54,(3,5)=56,(2,4)=59,(1,2)=62,(4,7)=62,(2,3)=76,(5,7)=78,(3,7)=80,(4,6)=85,(1,5)=86,(0,3)=91,(2,5)=93,(0,7)=95,(2,7)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=8 Succeeded, w=10\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 3}, Find(1)=3, Find(7)=7, Add (1,7)=10 Succeeded, w=20\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3, 7: 3}, Find(6)=6, Find(7)=3, Add (6,7)=12 Succeeded, w=32\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=19 Failed, w=32\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 3, 5: 5, 6: 3, 7: 3}, Find(0)=0, Find(2)=2, Add (0,2)=25 Succeeded, w=57\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 3, 5: 0, 6: 3, 7: 3}, Find(0)=0, Find(5)=5, Add (0,5)=29 Succeeded, w=86\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 3, 5: 0, 6: 3, 7: 3}, Find(1)=3, Find(6)=3, Add (1,6)=37 Failed, w=86\",\"Parent: {0: 3, 1: 3, 2: 0, 3: 3, 4: 3, 5: 0, 6: 3, 7: 3}, Find(4)=3, Find(5)=0, Add (4,5)=42 Succeeded, w=128\",\"Parent: {0: 3, 1: 3, 2: 0, 3: 3, 4: 3, 5: 0, 6: 3, 7: 3}, Find(0)=3, Find(6)=3, Add (0,6)=54 Failed, w=128\",\"Parent: {0: 3, 1: 3, 2: 0, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(5)=3, Add (3,5)=56 Failed, w=128\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(4)=3, Add (2,4)=59 Failed, w=128\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(2)=3, Add (1,2)=62 Failed, w=128\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(7)=3, Add (4,7)=62 Failed, w=128\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(3)=3, Add (2,3)=76 Failed, w=128\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(7)=3, Add (5,7)=78 Failed, w=128\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(7)=3, Add (3,7)=80 Failed, w=128\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(6)=3, Add (4,6)=85 Failed, w=128\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(5)=3, Add (1,5)=86 Failed, w=128\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(3)=3, Add (0,3)=91 Failed, w=128\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(5)=3, Add (2,5)=93 Failed, w=128\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(7)=3, Add (0,7)=95 Failed, w=128\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(7)=3, Add (2,7)=98 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,44],[0,2,55],[0,3,74],[1,2,78],[1,3,72]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,55],[0,3,74],[1,2,78],[1,3,72]]}",
"role": "user"
},
{
"content": "{\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,55],[0,3,74],[1,2,78],[1,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,55],[0,3,74],[1,2,78],[1,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=44, w=44\",\"Add (0,2)=55, w=99\",\"Add (1,3)=72, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,55],[0,3,74],[1,2,78],[1,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=44 Succeeded, w=44\",\"Add (0,2)=55 Succeeded, w=99\",\"Add (1,3)=72 Succeeded, w=171\",\"Add (0,3)=74 Failed, w=171\",\"Add (1,2)=78 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,55],[0,3,74],[1,2,78],[1,3,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=44,(0,2)=55,(1,3)=72,(0,3)=74,(1,2)=78]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=44 Succeeded, w=44\",\"Find(0)=0, Find(2)=2, Add (0,2)=55 Succeeded, w=99\",\"Find(1)=0, Find(3)=3, Add (1,3)=72 Succeeded, w=171\",\"Find(0)=0, Find(3)=0, Add (0,3)=74 Failed, w=171\",\"Find(1)=0, Find(2)=0, Add (1,2)=78 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,44],[0,2,55],[0,3,74],[1,2,78],[1,3,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=44,(0,2)=55,(1,3)=72,(0,3)=74,(1,2)=78]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=44 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=55 Succeeded, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=72 Succeeded, w=171\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=74 Failed, w=171\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=78 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,37],[0,2,1],[0,3,39],[0,4,48],[1,2,17],[1,3,43],[1,4,57],[2,3,55],[2,4,48],[3,4,75]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,1],[0,3,39],[0,4,48],[1,2,17],[1,3,43],[1,4,57],[2,3,55],[2,4,48],[3,4,75]]}",
"role": "user"
},
{
"content": "{\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,1],[0,3,39],[0,4,48],[1,2,17],[1,3,43],[1,4,57],[2,3,55],[2,4,48],[3,4,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (0,3)\",\"Add (0,4)\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,1],[0,3,39],[0,4,48],[1,2,17],[1,3,43],[1,4,57],[2,3,55],[2,4,48],[3,4,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1, w=1\",\"Add (1,2)=17, w=18\",\"Add (0,3)=39, w=57\",\"Add (0,4)=48, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,1],[0,3,39],[0,4,48],[1,2,17],[1,3,43],[1,4,57],[2,3,55],[2,4,48],[3,4,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1 Succeeded, w=1\",\"Add (1,2)=17 Succeeded, w=18\",\"Add (0,1)=37 Failed, w=18\",\"Add (0,3)=39 Succeeded, w=57\",\"Add (1,3)=43 Failed, w=57\",\"Add (0,4)=48 Succeeded, w=105\",\"Add (2,4)=48 Failed, w=105\",\"Add (2,3)=55 Failed, w=105\",\"Add (1,4)=57 Failed, w=105\",\"Add (3,4)=75 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,1],[0,3,39],[0,4,48],[1,2,17],[1,3,43],[1,4,57],[2,3,55],[2,4,48],[3,4,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(1,2)=17,(0,1)=37,(0,3)=39,(1,3)=43,(0,4)=48,(2,4)=48,(2,3)=55,(1,4)=57,(3,4)=75]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Find(1)=1, Find(2)=0, Add (1,2)=17 Succeeded, w=18\",\"Find(0)=0, Find(1)=0, Add (0,1)=37 Failed, w=18\",\"Find(0)=0, Find(3)=3, Add (0,3)=39 Succeeded, w=57\",\"Find(1)=0, Find(3)=0, Add (1,3)=43 Failed, w=57\",\"Find(0)=0, Find(4)=4, Add (0,4)=48 Succeeded, w=105\",\"Find(2)=0, Find(4)=0, Add (2,4)=48 Failed, w=105\",\"Find(2)=0, Find(3)=0, Add (2,3)=55 Failed, w=105\",\"Find(1)=0, Find(4)=0, Add (1,4)=57 Failed, w=105\",\"Find(3)=0, Find(4)=0, Add (3,4)=75 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,37],[0,2,1],[0,3,39],[0,4,48],[1,2,17],[1,3,43],[1,4,57],[2,3,55],[2,4,48],[3,4,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(1,2)=17,(0,1)=37,(0,3)=39,(1,3)=43,(0,4)=48,(2,4)=48,(2,3)=55,(1,4)=57,(3,4)=75]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(1)=1, Find(2)=0, Add (1,2)=17 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(1)=0, Add (0,1)=37 Failed, w=18\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=39 Succeeded, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(1)=0, Find(3)=0, Add (1,3)=43 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=48 Succeeded, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=48 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=55 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=57 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=75 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,7],[0,2,12],[0,3,85],[0,4,94],[0,5,54],[1,3,20],[1,4,72],[1,5,81],[2,3,55],[2,4,61],[2,5,39],[3,5,36],[4,5,51]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,7],[0,2,12],[0,3,85],[0,4,94],[0,5,54],[1,3,20],[1,4,72],[1,5,81],[2,3,55],[2,4,61],[2,5,39],[3,5,36],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,7],[0,2,12],[0,3,85],[0,4,94],[0,5,54],[1,3,20],[1,4,72],[1,5,81],[2,3,55],[2,4,61],[2,5,39],[3,5,36],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,2)\",\"Add (1,3)\",\"Add (3,5)\",\"Add (4,5)\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,7],[0,2,12],[0,3,85],[0,4,94],[0,5,54],[1,3,20],[1,4,72],[1,5,81],[2,3,55],[2,4,61],[2,5,39],[3,5,36],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=7, w=7\",\"Add (0,2)=12, w=19\",\"Add (1,3)=20, w=39\",\"Add (3,5)=36, w=75\",\"Add (4,5)=51, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,7],[0,2,12],[0,3,85],[0,4,94],[0,5,54],[1,3,20],[1,4,72],[1,5,81],[2,3,55],[2,4,61],[2,5,39],[3,5,36],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=7 Succeeded, w=7\",\"Add (0,2)=12 Succeeded, w=19\",\"Add (1,3)=20 Succeeded, w=39\",\"Add (3,5)=36 Succeeded, w=75\",\"Add (2,5)=39 Failed, w=75\",\"Add (4,5)=51 Succeeded, w=126\",\"Add (0,5)=54 Failed, w=126\",\"Add (2,3)=55 Failed, w=126\",\"Add (2,4)=61 Failed, w=126\",\"Add (1,4)=72 Failed, w=126\",\"Add (1,5)=81 Failed, w=126\",\"Add (0,3)=85 Failed, w=126\",\"Add (0,4)=94 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,7],[0,2,12],[0,3,85],[0,4,94],[0,5,54],[1,3,20],[1,4,72],[1,5,81],[2,3,55],[2,4,61],[2,5,39],[3,5,36],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=7,(0,2)=12,(1,3)=20,(3,5)=36,(2,5)=39,(4,5)=51,(0,5)=54,(2,3)=55,(2,4)=61,(1,4)=72,(1,5)=81,(0,3)=85,(0,4)=94]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=7\",\"Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=19\",\"Find(1)=0, Find(3)=3, Add (1,3)=20 Succeeded, w=39\",\"Find(3)=0, Find(5)=5, Add (3,5)=36 Succeeded, w=75\",\"Find(2)=0, Find(5)=0, Add (2,5)=39 Failed, w=75\",\"Find(4)=4, Find(5)=0, Add (4,5)=51 Succeeded, w=126\",\"Find(0)=0, Find(5)=0, Add (0,5)=54 Failed, w=126\",\"Find(2)=0, Find(3)=0, Add (2,3)=55 Failed, w=126\",\"Find(2)=0, Find(4)=0, Add (2,4)=61 Failed, w=126\",\"Find(1)=0, Find(4)=0, Add (1,4)=72 Failed, w=126\",\"Find(1)=0, Find(5)=0, Add (1,5)=81 Failed, w=126\",\"Find(0)=0, Find(3)=0, Add (0,3)=85 Failed, w=126\",\"Find(0)=0, Find(4)=0, Add (0,4)=94 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,7],[0,2,12],[0,3,85],[0,4,94],[0,5,54],[1,3,20],[1,4,72],[1,5,81],[2,3,55],[2,4,61],[2,5,39],[3,5,36],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=7,(0,2)=12,(1,3)=20,(3,5)=36,(2,5)=39,(4,5)=51,(0,5)=54,(2,3)=55,(2,4)=61,(1,4)=72,(1,5)=81,(0,3)=85,(0,4)=94]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5}, Find(1)=0, Find(3)=3, Add (1,3)=20 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(3)=0, Find(5)=5, Add (3,5)=36 Succeeded, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=39 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=4, Find(5)=0, Add (4,5)=51 Succeeded, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=54 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=55 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=61 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=72 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=81 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=85 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=94 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,42],[0,2,100],[0,4,85],[1,3,21],[1,4,17],[2,4,55],[2,5,38],[3,4,65],[3,5,66],[4,5,69]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,42],[0,2,100],[0,4,85],[1,3,21],[1,4,17],[2,4,55],[2,5,38],[3,4,65],[3,5,66],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,42],[0,2,100],[0,4,85],[1,3,21],[1,4,17],[2,4,55],[2,5,38],[3,4,65],[3,5,66],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,3)\",\"Add (2,5)\",\"Add (0,1)\",\"Add (2,4)\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,42],[0,2,100],[0,4,85],[1,3,21],[1,4,17],[2,4,55],[2,5,38],[3,4,65],[3,5,66],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=17, w=17\",\"Add (1,3)=21, w=38\",\"Add (2,5)=38, w=76\",\"Add (0,1)=42, w=118\",\"Add (2,4)=55, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,42],[0,2,100],[0,4,85],[1,3,21],[1,4,17],[2,4,55],[2,5,38],[3,4,65],[3,5,66],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=17 Succeeded, w=17\",\"Add (1,3)=21 Succeeded, w=38\",\"Add (2,5)=38 Succeeded, w=76\",\"Add (0,1)=42 Succeeded, w=118\",\"Add (2,4)=55 Succeeded, w=173\",\"Add (3,4)=65 Failed, w=173\",\"Add (3,5)=66 Failed, w=173\",\"Add (4,5)=69 Failed, w=173\",\"Add (0,4)=85 Failed, w=173\",\"Add (0,2)=100 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,42],[0,2,100],[0,4,85],[1,3,21],[1,4,17],[2,4,55],[2,5,38],[3,4,65],[3,5,66],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=17,(1,3)=21,(2,5)=38,(0,1)=42,(2,4)=55,(3,4)=65,(3,5)=66,(4,5)=69,(0,4)=85,(0,2)=100]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=17 Succeeded, w=17\",\"Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=38\",\"Find(2)=2, Find(5)=5, Add (2,5)=38 Succeeded, w=76\",\"Find(0)=0, Find(1)=1, Add (0,1)=42 Succeeded, w=118\",\"Find(2)=2, Find(4)=1, Add (2,4)=55 Succeeded, w=173\",\"Find(3)=2, Find(4)=2, Add (3,4)=65 Failed, w=173\",\"Find(3)=2, Find(5)=2, Add (3,5)=66 Failed, w=173\",\"Find(4)=2, Find(5)=2, Add (4,5)=69 Failed, w=173\",\"Find(0)=2, Find(4)=2, Add (0,4)=85 Failed, w=173\",\"Find(0)=2, Find(2)=2, Add (0,2)=100 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,42],[0,2,100],[0,4,85],[1,3,21],[1,4,17],[2,4,55],[2,5,38],[3,4,65],[3,5,66],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=17,(1,3)=21,(2,5)=38,(0,1)=42,(2,4)=55,(3,4)=65,(3,5)=66,(4,5)=69,(0,4)=85,(0,2)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=38\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=38 Succeeded, w=76\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2}, Find(0)=0, Find(1)=1, Add (0,1)=42 Succeeded, w=118\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 1, 4: 1, 5: 2}, Find(2)=2, Find(4)=1, Add (2,4)=55 Succeeded, w=173\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=65 Failed, w=173\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=66 Failed, w=173\",\"Parent: {0: 1, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=69 Failed, w=173\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=85 Failed, w=173\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=100 Failed, w=173\"],\"Answer\":173}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,82],[0,3,46],[1,2,30],[2,3,51]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,82],[0,3,46],[1,2,30],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,82],[0,3,46],[1,2,30],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (2,3)\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,82],[0,3,46],[1,2,30],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=30, w=30\",\"Add (0,3)=46, w=76\",\"Add (2,3)=51, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,82],[0,3,46],[1,2,30],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=30 Succeeded, w=30\",\"Add (0,3)=46 Succeeded, w=76\",\"Add (2,3)=51 Succeeded, w=127\",\"Add (0,2)=82 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,82],[0,3,46],[1,2,30],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=30,(0,3)=46,(2,3)=51,(0,2)=82]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=30 Succeeded, w=30\",\"Find(0)=0, Find(3)=3, Add (0,3)=46 Succeeded, w=76\",\"Find(2)=1, Find(3)=0, Add (2,3)=51 Succeeded, w=127\",\"Find(0)=1, Find(2)=1, Add (0,2)=82 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,82],[0,3,46],[1,2,30],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=30,(0,3)=46,(2,3)=51,(0,2)=82]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=30 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=46 Succeeded, w=76\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(2)=1, Find(3)=0, Add (2,3)=51 Succeeded, w=127\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(0)=1, Find(2)=1, Add (0,2)=82 Failed, w=127\"],\"Answer\":127}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,3,97],[0,4,98],[0,5,60],[1,2,97],[1,3,38],[1,4,95],[2,3,21],[3,4,8],[3,5,80]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,97],[0,4,98],[0,5,60],[1,2,97],[1,3,38],[1,4,95],[2,3,21],[3,4,8],[3,5,80]]}",
"role": "user"
},
{
"content": "{\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,97],[0,4,98],[0,5,60],[1,2,97],[1,3,38],[1,4,95],[2,3,21],[3,4,8],[3,5,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (2,3)\",\"Add (1,3)\",\"Add (0,5)\",\"Add (3,5)\"],\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,97],[0,4,98],[0,5,60],[1,2,97],[1,3,38],[1,4,95],[2,3,21],[3,4,8],[3,5,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=8, w=8\",\"Add (2,3)=21, w=29\",\"Add (1,3)=38, w=67\",\"Add (0,5)=60, w=127\",\"Add (3,5)=80, w=207\"],\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,97],[0,4,98],[0,5,60],[1,2,97],[1,3,38],[1,4,95],[2,3,21],[3,4,8],[3,5,80]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=8 Succeeded, w=8\",\"Add (2,3)=21 Succeeded, w=29\",\"Add (1,3)=38 Succeeded, w=67\",\"Add (0,5)=60 Succeeded, w=127\",\"Add (3,5)=80 Succeeded, w=207\",\"Add (1,4)=95 Failed, w=207\",\"Add (0,3)=97 Failed, w=207\",\"Add (1,2)=97 Failed, w=207\",\"Add (0,4)=98 Failed, w=207\"],\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,97],[0,4,98],[0,5,60],[1,2,97],[1,3,38],[1,4,95],[2,3,21],[3,4,8],[3,5,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=8,(2,3)=21,(1,3)=38,(0,5)=60,(3,5)=80,(1,4)=95,(0,3)=97,(1,2)=97,(0,4)=98]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=8 Succeeded, w=8\",\"Find(2)=2, Find(3)=3, Add (2,3)=21 Succeeded, w=29\",\"Find(1)=1, Find(3)=3, Add (1,3)=38 Succeeded, w=67\",\"Find(0)=0, Find(5)=5, Add (0,5)=60 Succeeded, w=127\",\"Find(3)=3, Find(5)=0, Add (3,5)=80 Succeeded, w=207\",\"Find(1)=3, Find(4)=3, Add (1,4)=95 Failed, w=207\",\"Find(0)=3, Find(3)=3, Add (0,3)=97 Failed, w=207\",\"Find(1)=3, Find(2)=3, Add (1,2)=97 Failed, w=207\",\"Find(0)=3, Find(4)=3, Add (0,4)=98 Failed, w=207\"],\"Answer\":207}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,97],[0,4,98],[0,5,60],[1,2,97],[1,3,38],[1,4,95],[2,3,21],[3,4,8],[3,5,80]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=8,(2,3)=21,(1,3)=38,(0,5)=60,(3,5)=80,(1,4)=95,(0,3)=97,(1,2)=97,(0,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=21 Succeeded, w=29\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=38 Succeeded, w=67\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=60 Succeeded, w=127\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0}, Find(3)=3, Find(5)=0, Add (3,5)=80 Succeeded, w=207\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0}, Find(1)=3, Find(4)=3, Add (1,4)=95 Failed, w=207\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0}, Find(0)=3, Find(3)=3, Add (0,3)=97 Failed, w=207\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0}, Find(1)=3, Find(2)=3, Add (1,2)=97 Failed, w=207\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0}, Find(0)=3, Find(4)=3, Add (0,4)=98 Failed, w=207\"],\"Answer\":207}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,77],[0,2,14],[0,3,90],[0,4,76],[0,5,17],[0,6,50],[1,2,69],[1,3,94],[1,4,0],[1,5,18],[1,6,17],[2,3,46],[2,4,67],[2,5,11],[2,6,60],[3,4,8],[3,5,75],[3,6,20],[4,5,31],[4,6,16],[5,6,20]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,77],[0,2,14],[0,3,90],[0,4,76],[0,5,17],[0,6,50],[1,2,69],[1,3,94],[1,4,0],[1,5,18],[1,6,17],[2,3,46],[2,4,67],[2,5,11],[2,6,60],[3,4,8],[3,5,75],[3,6,20],[4,5,31],[4,6,16],[5,6,20]]}",
"role": "user"
},
{
"content": "{\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,77],[0,2,14],[0,3,90],[0,4,76],[0,5,17],[0,6,50],[1,2,69],[1,3,94],[1,4,0],[1,5,18],[1,6,17],[2,3,46],[2,4,67],[2,5,11],[2,6,60],[3,4,8],[3,5,75],[3,6,20],[4,5,31],[4,6,16],[5,6,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (3,4)\",\"Add (2,5)\",\"Add (0,2)\",\"Add (4,6)\",\"Add (1,5)\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,77],[0,2,14],[0,3,90],[0,4,76],[0,5,17],[0,6,50],[1,2,69],[1,3,94],[1,4,0],[1,5,18],[1,6,17],[2,3,46],[2,4,67],[2,5,11],[2,6,60],[3,4,8],[3,5,75],[3,6,20],[4,5,31],[4,6,16],[5,6,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0, w=0\",\"Add (3,4)=8, w=8\",\"Add (2,5)=11, w=19\",\"Add (0,2)=14, w=33\",\"Add (4,6)=16, w=49\",\"Add (1,5)=18, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,77],[0,2,14],[0,3,90],[0,4,76],[0,5,17],[0,6,50],[1,2,69],[1,3,94],[1,4,0],[1,5,18],[1,6,17],[2,3,46],[2,4,67],[2,5,11],[2,6,60],[3,4,8],[3,5,75],[3,6,20],[4,5,31],[4,6,16],[5,6,20]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0 Succeeded, w=0\",\"Add (3,4)=8 Succeeded, w=8\",\"Add (2,5)=11 Succeeded, w=19\",\"Add (0,2)=14 Succeeded, w=33\",\"Add (4,6)=16 Succeeded, w=49\",\"Add (0,5)=17 Failed, w=49\",\"Add (1,6)=17 Failed, w=49\",\"Add (1,5)=18 Succeeded, w=67\",\"Add (3,6)=20 Failed, w=67\",\"Add (5,6)=20 Failed, w=67\",\"Add (4,5)=31 Failed, w=67\",\"Add (2,3)=46 Failed, w=67\",\"Add (0,6)=50 Failed, w=67\",\"Add (2,6)=60 Failed, w=67\",\"Add (2,4)=67 Failed, w=67\",\"Add (1,2)=69 Failed, w=67\",\"Add (3,5)=75 Failed, w=67\",\"Add (0,4)=76 Failed, w=67\",\"Add (0,1)=77 Failed, w=67\",\"Add (0,3)=90 Failed, w=67\",\"Add (1,3)=94 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,77],[0,2,14],[0,3,90],[0,4,76],[0,5,17],[0,6,50],[1,2,69],[1,3,94],[1,4,0],[1,5,18],[1,6,17],[2,3,46],[2,4,67],[2,5,11],[2,6,60],[3,4,8],[3,5,75],[3,6,20],[4,5,31],[4,6,16],[5,6,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(3,4)=8,(2,5)=11,(0,2)=14,(4,6)=16,(0,5)=17,(1,6)=17,(1,5)=18,(3,6)=20,(5,6)=20,(4,5)=31,(2,3)=46,(0,6)=50,(2,6)=60,(2,4)=67,(1,2)=69,(3,5)=75,(0,4)=76,(0,1)=77,(0,3)=90,(1,3)=94]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Find(3)=3, Find(4)=1, Add (3,4)=8 Succeeded, w=8\",\"Find(2)=2, Find(5)=5, Add (2,5)=11 Succeeded, w=19\",\"Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=33\",\"Find(4)=1, Find(6)=6, Add (4,6)=16 Succeeded, w=49\",\"Find(0)=2, Find(5)=2, Add (0,5)=17 Failed, w=49\",\"Find(1)=1, Find(6)=1, Add (1,6)=17 Failed, w=49\",\"Find(1)=1, Find(5)=2, Add (1,5)=18 Succeeded, w=67\",\"Find(3)=1, Find(6)=1, Add (3,6)=20 Failed, w=67\",\"Find(5)=1, Find(6)=1, Add (5,6)=20 Failed, w=67\",\"Find(4)=1, Find(5)=1, Add (4,5)=31 Failed, w=67\",\"Find(2)=1, Find(3)=1, Add (2,3)=46 Failed, w=67\",\"Find(0)=1, Find(6)=1, Add (0,6)=50 Failed, w=67\",\"Find(2)=1, Find(6)=1, Add (2,6)=60 Failed, w=67\",\"Find(2)=1, Find(4)=1, Add (2,4)=67 Failed, w=67\",\"Find(1)=1, Find(2)=1, Add (1,2)=69 Failed, w=67\",\"Find(3)=1, Find(5)=1, Add (3,5)=75 Failed, w=67\",\"Find(0)=1, Find(4)=1, Add (0,4)=76 Failed, w=67\",\"Find(0)=1, Find(1)=1, Add (0,1)=77 Failed, w=67\",\"Find(0)=1, Find(3)=1, Add (0,3)=90 Failed, w=67\",\"Find(1)=1, Find(3)=1, Add (1,3)=94 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,77],[0,2,14],[0,3,90],[0,4,76],[0,5,17],[0,6,50],[1,2,69],[1,3,94],[1,4,0],[1,5,18],[1,6,17],[2,3,46],[2,4,67],[2,5,11],[2,6,60],[3,4,8],[3,5,75],[3,6,20],[4,5,31],[4,6,16],[5,6,20]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(3,4)=8,(2,5)=11,(0,2)=14,(4,6)=16,(0,5)=17,(1,6)=17,(1,5)=18,(3,6)=20,(5,6)=20,(4,5)=31,(2,3)=46,(0,6)=50,(2,6)=60,(2,4)=67,(1,2)=69,(3,5)=75,(0,4)=76,(0,1)=77,(0,3)=90,(1,3)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 6}, Find(3)=3, Find(4)=1, Add (3,4)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=11 Succeeded, w=19\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=14 Succeeded, w=33\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2, 6: 1}, Find(4)=1, Find(6)=6, Add (4,6)=16 Succeeded, w=49\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2, 6: 1}, Find(0)=2, Find(5)=2, Add (0,5)=17 Failed, w=49\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=17 Failed, w=49\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2, 6: 1}, Find(1)=1, Find(5)=2, Add (1,5)=18 Succeeded, w=67\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=20 Failed, w=67\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=20 Failed, w=67\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=31 Failed, w=67\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=46 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=50 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=60 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=67 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=69 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=75 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=76 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=77 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=90 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=94 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,43],[1,3,34],[2,3,77]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,43],[1,3,34],[2,3,77]]}",
"role": "user"
},
{
"content": "{\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,43],[1,3,34],[2,3,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,3)\",\"Add (2,3)\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,43],[1,3,34],[2,3,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=34, w=34\",\"Add (0,3)=43, w=77\",\"Add (2,3)=77, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,43],[1,3,34],[2,3,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=34 Succeeded, w=34\",\"Add (0,3)=43 Succeeded, w=77\",\"Add (2,3)=77 Succeeded, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,43],[1,3,34],[2,3,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=34,(0,3)=43,(2,3)=77]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=34 Succeeded, w=34\",\"Find(0)=0, Find(3)=1, Add (0,3)=43 Succeeded, w=77\",\"Find(2)=2, Find(3)=1, Add (2,3)=77 Succeeded, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,43],[1,3,34],[2,3,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=34,(0,3)=43,(2,3)=77]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=34 Succeeded, w=34\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=43 Succeeded, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=77 Succeeded, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,18],[0,3,1],[1,2,18],[2,3,72]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,18],[0,3,1],[1,2,18],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Answer\":37}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,18],[0,3,1],[1,2,18],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":37}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,18],[0,3,1],[1,2,18],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1, w=1\",\"Add (0,2)=18, w=19\",\"Add (1,2)=18, w=37\"],\"Answer\":37}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,18],[0,3,1],[1,2,18],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1 Succeeded, w=1\",\"Add (0,2)=18 Succeeded, w=19\",\"Add (1,2)=18 Succeeded, w=37\",\"Add (2,3)=72 Failed, w=37\"],\"Answer\":37}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,18],[0,3,1],[1,2,18],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(0,2)=18,(1,2)=18,(2,3)=72]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=19\",\"Find(1)=1, Find(2)=0, Add (1,2)=18 Succeeded, w=37\",\"Find(2)=0, Find(3)=0, Add (2,3)=72 Failed, w=37\"],\"Answer\":37}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,18],[0,3,1],[1,2,18],[2,3,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(0,2)=18,(1,2)=18,(2,3)=72]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(2)=0, Add (1,2)=18 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=72 Failed, w=37\"],\"Answer\":37}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,18],[0,2,96],[0,3,55],[0,4,45],[0,5,30],[0,6,32],[0,7,80],[1,3,29],[1,4,41],[1,5,57],[1,7,96],[2,4,41],[2,6,64],[2,7,75],[3,7,27],[4,6,33],[4,7,98],[5,7,64]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,18],[0,2,96],[0,3,55],[0,4,45],[0,5,30],[0,6,32],[0,7,80],[1,3,29],[1,4,41],[1,5,57],[1,7,96],[2,4,41],[2,6,64],[2,7,75],[3,7,27],[4,6,33],[4,7,98],[5,7,64]]}",
"role": "user"
},
{
"content": "{\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,18],[0,2,96],[0,3,55],[0,4,45],[0,5,30],[0,6,32],[0,7,80],[1,3,29],[1,4,41],[1,5,57],[1,7,96],[2,4,41],[2,6,64],[2,7,75],[3,7,27],[4,6,33],[4,7,98],[5,7,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (3,7)\",\"Add (1,3)\",\"Add (0,5)\",\"Add (0,6)\",\"Add (4,6)\",\"Add (2,4)\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,18],[0,2,96],[0,3,55],[0,4,45],[0,5,30],[0,6,32],[0,7,80],[1,3,29],[1,4,41],[1,5,57],[1,7,96],[2,4,41],[2,6,64],[2,7,75],[3,7,27],[4,6,33],[4,7,98],[5,7,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=18, w=18\",\"Add (3,7)=27, w=45\",\"Add (1,3)=29, w=74\",\"Add (0,5)=30, w=104\",\"Add (0,6)=32, w=136\",\"Add (4,6)=33, w=169\",\"Add (2,4)=41, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,18],[0,2,96],[0,3,55],[0,4,45],[0,5,30],[0,6,32],[0,7,80],[1,3,29],[1,4,41],[1,5,57],[1,7,96],[2,4,41],[2,6,64],[2,7,75],[3,7,27],[4,6,33],[4,7,98],[5,7,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=18 Succeeded, w=18\",\"Add (3,7)=27 Succeeded, w=45\",\"Add (1,3)=29 Succeeded, w=74\",\"Add (0,5)=30 Succeeded, w=104\",\"Add (0,6)=32 Succeeded, w=136\",\"Add (4,6)=33 Succeeded, w=169\",\"Add (1,4)=41 Failed, w=169\",\"Add (2,4)=41 Succeeded, w=210\",\"Add (0,4)=45 Failed, w=210\",\"Add (0,3)=55 Failed, w=210\",\"Add (1,5)=57 Failed, w=210\",\"Add (2,6)=64 Failed, w=210\",\"Add (5,7)=64 Failed, w=210\",\"Add (2,7)=75 Failed, w=210\",\"Add (0,7)=80 Failed, w=210\",\"Add (0,2)=96 Failed, w=210\",\"Add (1,7)=96 Failed, w=210\",\"Add (4,7)=98 Failed, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,18],[0,2,96],[0,3,55],[0,4,45],[0,5,30],[0,6,32],[0,7,80],[1,3,29],[1,4,41],[1,5,57],[1,7,96],[2,4,41],[2,6,64],[2,7,75],[3,7,27],[4,6,33],[4,7,98],[5,7,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=18,(3,7)=27,(1,3)=29,(0,5)=30,(0,6)=32,(4,6)=33,(1,4)=41,(2,4)=41,(0,4)=45,(0,3)=55,(1,5)=57,(2,6)=64,(5,7)=64,(2,7)=75,(0,7)=80,(0,2)=96,(1,7)=96,(4,7)=98]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=18\",\"Find(3)=3, Find(7)=7, Add (3,7)=27 Succeeded, w=45\",\"Find(1)=0, Find(3)=3, Add (1,3)=29 Succeeded, w=74\",\"Find(0)=0, Find(5)=5, Add (0,5)=30 Succeeded, w=104\",\"Find(0)=0, Find(6)=6, Add (0,6)=32 Succeeded, w=136\",\"Find(4)=4, Find(6)=0, Add (4,6)=33 Succeeded, w=169\",\"Find(1)=0, Find(4)=0, Add (1,4)=41 Failed, w=169\",\"Find(2)=2, Find(4)=0, Add (2,4)=41 Succeeded, w=210\",\"Find(0)=0, Find(4)=0, Add (0,4)=45 Failed, w=210\",\"Find(0)=0, Find(3)=0, Add (0,3)=55 Failed, w=210\",\"Find(1)=0, Find(5)=0, Add (1,5)=57 Failed, w=210\",\"Find(2)=0, Find(6)=0, Add (2,6)=64 Failed, w=210\",\"Find(5)=0, Find(7)=0, Add (5,7)=64 Failed, w=210\",\"Find(2)=0, Find(7)=0, Add (2,7)=75 Failed, w=210\",\"Find(0)=0, Find(7)=0, Add (0,7)=80 Failed, w=210\",\"Find(0)=0, Find(2)=0, Add (0,2)=96 Failed, w=210\",\"Find(1)=0, Find(7)=0, Add (1,7)=96 Failed, w=210\",\"Find(4)=0, Find(7)=0, Add (4,7)=98 Failed, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,18],[0,2,96],[0,3,55],[0,4,45],[0,5,30],[0,6,32],[0,7,80],[1,3,29],[1,4,41],[1,5,57],[1,7,96],[2,4,41],[2,6,64],[2,7,75],[3,7,27],[4,6,33],[4,7,98],[5,7,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=18,(3,7)=27,(1,3)=29,(0,5)=30,(0,6)=32,(4,6)=33,(1,4)=41,(2,4)=41,(0,4)=45,(0,3)=55,(1,5)=57,(2,6)=64,(5,7)=64,(2,7)=75,(0,7)=80,(0,2)=96,(1,7)=96,(4,7)=98]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=27 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 3}, Find(1)=0, Find(3)=3, Add (1,3)=29 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0, 6: 6, 7: 3}, Find(0)=0, Find(5)=5, Add (0,5)=30 Succeeded, w=104\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0, 6: 0, 7: 3}, Find(0)=0, Find(6)=6, Add (0,6)=32 Succeeded, w=136\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 3}, Find(4)=4, Find(6)=0, Add (4,6)=33 Succeeded, w=169\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 3}, Find(1)=0, Find(4)=0, Add (1,4)=41 Failed, w=169\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 3}, Find(2)=2, Find(4)=0, Add (2,4)=41 Succeeded, w=210\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 3}, Find(0)=0, Find(4)=0, Add (0,4)=45 Failed, w=210\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 3}, Find(0)=0, Find(3)=0, Add (0,3)=55 Failed, w=210\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 3}, Find(1)=0, Find(5)=0, Add (1,5)=57 Failed, w=210\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 3}, Find(2)=0, Find(6)=0, Add (2,6)=64 Failed, w=210\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=64 Failed, w=210\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=75 Failed, w=210\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=80 Failed, w=210\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=96 Failed, w=210\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=96 Failed, w=210\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=98 Failed, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,85],[1,2,14],[2,4,32],[3,4,86]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,85],[1,2,14],[2,4,32],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Answer\":217}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,85],[1,2,14],[2,4,32],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,4)\",\"Add (0,3)\",\"Add (3,4)\"],\"Answer\":217}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,85],[1,2,14],[2,4,32],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=14, w=14\",\"Add (2,4)=32, w=46\",\"Add (0,3)=85, w=131\",\"Add (3,4)=86, w=217\"],\"Answer\":217}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,85],[1,2,14],[2,4,32],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=14 Succeeded, w=14\",\"Add (2,4)=32 Succeeded, w=46\",\"Add (0,3)=85 Succeeded, w=131\",\"Add (3,4)=86 Succeeded, w=217\"],\"Answer\":217}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,85],[1,2,14],[2,4,32],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=14,(2,4)=32,(0,3)=85,(3,4)=86]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=14\",\"Find(2)=1, Find(4)=4, Add (2,4)=32 Succeeded, w=46\",\"Find(0)=0, Find(3)=3, Add (0,3)=85 Succeeded, w=131\",\"Find(3)=0, Find(4)=1, Add (3,4)=86 Succeeded, w=217\"],\"Answer\":217}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,85],[1,2,14],[2,4,32],[3,4,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=14,(2,4)=32,(0,3)=85,(3,4)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1}, Find(2)=1, Find(4)=4, Add (2,4)=32 Succeeded, w=46\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1}, Find(0)=0, Find(3)=3, Add (0,3)=85 Succeeded, w=131\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1}, Find(3)=0, Find(4)=1, Add (3,4)=86 Succeeded, w=217\"],\"Answer\":217}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,36],[0,4,25],[0,5,33],[1,3,47],[1,4,85],[1,6,45],[2,3,34],[2,4,20],[2,5,97],[3,4,95],[3,6,33],[5,6,90]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,36],[0,4,25],[0,5,33],[1,3,47],[1,4,85],[1,6,45],[2,3,34],[2,4,20],[2,5,97],[3,4,95],[3,6,33],[5,6,90]]}",
"role": "user"
},
{
"content": "{\"Answer\":190}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,36],[0,4,25],[0,5,33],[1,3,47],[1,4,85],[1,6,45],[2,3,34],[2,4,20],[2,5,97],[3,4,95],[3,6,33],[5,6,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,4)\",\"Add (0,5)\",\"Add (3,6)\",\"Add (2,3)\",\"Add (1,6)\"],\"Answer\":190}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,36],[0,4,25],[0,5,33],[1,3,47],[1,4,85],[1,6,45],[2,3,34],[2,4,20],[2,5,97],[3,4,95],[3,6,33],[5,6,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=20, w=20\",\"Add (0,4)=25, w=45\",\"Add (0,5)=33, w=78\",\"Add (3,6)=33, w=111\",\"Add (2,3)=34, w=145\",\"Add (1,6)=45, w=190\"],\"Answer\":190}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,36],[0,4,25],[0,5,33],[1,3,47],[1,4,85],[1,6,45],[2,3,34],[2,4,20],[2,5,97],[3,4,95],[3,6,33],[5,6,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=20 Succeeded, w=20\",\"Add (0,4)=25 Succeeded, w=45\",\"Add (0,5)=33 Succeeded, w=78\",\"Add (3,6)=33 Succeeded, w=111\",\"Add (2,3)=34 Succeeded, w=145\",\"Add (0,3)=36 Failed, w=145\",\"Add (1,6)=45 Succeeded, w=190\",\"Add (1,3)=47 Failed, w=190\",\"Add (1,4)=85 Failed, w=190\",\"Add (5,6)=90 Failed, w=190\",\"Add (3,4)=95 Failed, w=190\",\"Add (2,5)=97 Failed, w=190\"],\"Answer\":190}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,36],[0,4,25],[0,5,33],[1,3,47],[1,4,85],[1,6,45],[2,3,34],[2,4,20],[2,5,97],[3,4,95],[3,6,33],[5,6,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=20,(0,4)=25,(0,5)=33,(3,6)=33,(2,3)=34,(0,3)=36,(1,6)=45,(1,3)=47,(1,4)=85,(5,6)=90,(3,4)=95,(2,5)=97]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=20 Succeeded, w=20\",\"Find(0)=0, Find(4)=2, Add (0,4)=25 Succeeded, w=45\",\"Find(0)=2, Find(5)=5, Add (0,5)=33 Succeeded, w=78\",\"Find(3)=3, Find(6)=6, Add (3,6)=33 Succeeded, w=111\",\"Find(2)=2, Find(3)=3, Add (2,3)=34 Succeeded, w=145\",\"Find(0)=2, Find(3)=2, Add (0,3)=36 Failed, w=145\",\"Find(1)=1, Find(6)=2, Add (1,6)=45 Succeeded, w=190\",\"Find(1)=2, Find(3)=2, Add (1,3)=47 Failed, w=190\",\"Find(1)=2, Find(4)=2, Add (1,4)=85 Failed, w=190\",\"Find(5)=2, Find(6)=2, Add (5,6)=90 Failed, w=190\",\"Find(3)=2, Find(4)=2, Add (3,4)=95 Failed, w=190\",\"Find(2)=2, Find(5)=2, Add (2,5)=97 Failed, w=190\"],\"Answer\":190}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,36],[0,4,25],[0,5,33],[1,3,47],[1,4,85],[1,6,45],[2,3,34],[2,4,20],[2,5,97],[3,4,95],[3,6,33],[5,6,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=20,(0,4)=25,(0,5)=33,(3,6)=33,(2,3)=34,(0,3)=36,(1,6)=45,(1,3)=47,(1,4)=85,(5,6)=90,(3,4)=95,(2,5)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=20 Succeeded, w=20\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6}, Find(0)=0, Find(4)=2, Add (0,4)=25 Succeeded, w=45\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6}, Find(0)=2, Find(5)=5, Add (0,5)=33 Succeeded, w=78\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=33 Succeeded, w=111\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 3}, Find(2)=2, Find(3)=3, Add (2,3)=34 Succeeded, w=145\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 3}, Find(0)=2, Find(3)=2, Add (0,3)=36 Failed, w=145\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=1, Find(6)=2, Add (1,6)=45 Succeeded, w=190\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=47 Failed, w=190\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=85 Failed, w=190\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=90 Failed, w=190\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=95 Failed, w=190\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=97 Failed, w=190\"],\"Answer\":190}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,60],[0,3,45],[0,4,25],[0,5,17],[0,6,94],[1,2,27],[1,3,17],[1,4,33],[1,5,67],[1,6,45],[2,3,22],[2,4,47],[2,5,97],[2,6,67],[3,4,82],[3,5,45],[3,6,26],[4,5,24],[4,6,20],[5,6,34]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,60],[0,3,45],[0,4,25],[0,5,17],[0,6,94],[1,2,27],[1,3,17],[1,4,33],[1,5,67],[1,6,45],[2,3,22],[2,4,47],[2,5,97],[2,6,67],[3,4,82],[3,5,45],[3,6,26],[4,5,24],[4,6,20],[5,6,34]]}",
"role": "user"
},
{
"content": "{\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,60],[0,3,45],[0,4,25],[0,5,17],[0,6,94],[1,2,27],[1,3,17],[1,4,33],[1,5,67],[1,6,45],[2,3,22],[2,4,47],[2,5,97],[2,6,67],[3,4,82],[3,5,45],[3,6,26],[4,5,24],[4,6,20],[5,6,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (1,3)\",\"Add (4,6)\",\"Add (2,3)\",\"Add (4,5)\",\"Add (3,6)\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,60],[0,3,45],[0,4,25],[0,5,17],[0,6,94],[1,2,27],[1,3,17],[1,4,33],[1,5,67],[1,6,45],[2,3,22],[2,4,47],[2,5,97],[2,6,67],[3,4,82],[3,5,45],[3,6,26],[4,5,24],[4,6,20],[5,6,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=17, w=17\",\"Add (1,3)=17, w=34\",\"Add (4,6)=20, w=54\",\"Add (2,3)=22, w=76\",\"Add (4,5)=24, w=100\",\"Add (3,6)=26, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,60],[0,3,45],[0,4,25],[0,5,17],[0,6,94],[1,2,27],[1,3,17],[1,4,33],[1,5,67],[1,6,45],[2,3,22],[2,4,47],[2,5,97],[2,6,67],[3,4,82],[3,5,45],[3,6,26],[4,5,24],[4,6,20],[5,6,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=17 Succeeded, w=17\",\"Add (1,3)=17 Succeeded, w=34\",\"Add (4,6)=20 Succeeded, w=54\",\"Add (2,3)=22 Succeeded, w=76\",\"Add (4,5)=24 Succeeded, w=100\",\"Add (0,4)=25 Failed, w=100\",\"Add (3,6)=26 Succeeded, w=126\",\"Add (1,2)=27 Failed, w=126\",\"Add (1,4)=33 Failed, w=126\",\"Add (5,6)=34 Failed, w=126\",\"Add (0,3)=45 Failed, w=126\",\"Add (1,6)=45 Failed, w=126\",\"Add (3,5)=45 Failed, w=126\",\"Add (2,4)=47 Failed, w=126\",\"Add (0,2)=60 Failed, w=126\",\"Add (1,5)=67 Failed, w=126\",\"Add (2,6)=67 Failed, w=126\",\"Add (3,4)=82 Failed, w=126\",\"Add (0,6)=94 Failed, w=126\",\"Add (2,5)=97 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,60],[0,3,45],[0,4,25],[0,5,17],[0,6,94],[1,2,27],[1,3,17],[1,4,33],[1,5,67],[1,6,45],[2,3,22],[2,4,47],[2,5,97],[2,6,67],[3,4,82],[3,5,45],[3,6,26],[4,5,24],[4,6,20],[5,6,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=17,(1,3)=17,(4,6)=20,(2,3)=22,(4,5)=24,(0,4)=25,(3,6)=26,(1,2)=27,(1,4)=33,(5,6)=34,(0,3)=45,(1,6)=45,(3,5)=45,(2,4)=47,(0,2)=60,(1,5)=67,(2,6)=67,(3,4)=82,(0,6)=94,(2,5)=97]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=17 Succeeded, w=17\",\"Find(1)=1, Find(3)=3, Add (1,3)=17 Succeeded, w=34\",\"Find(4)=4, Find(6)=6, Add (4,6)=20 Succeeded, w=54\",\"Find(2)=2, Find(3)=1, Add (2,3)=22 Succeeded, w=76\",\"Find(4)=4, Find(5)=0, Add (4,5)=24 Succeeded, w=100\",\"Find(0)=4, Find(4)=4, Add (0,4)=25 Failed, w=100\",\"Find(3)=1, Find(6)=4, Add (3,6)=26 Succeeded, w=126\",\"Find(1)=4, Find(2)=4, Add (1,2)=27 Failed, w=126\",\"Find(1)=4, Find(4)=4, Add (1,4)=33 Failed, w=126\",\"Find(5)=4, Find(6)=4, Add (5,6)=34 Failed, w=126\",\"Find(0)=4, Find(3)=4, Add (0,3)=45 Failed, w=126\",\"Find(1)=4, Find(6)=4, Add (1,6)=45 Failed, w=126\",\"Find(3)=4, Find(5)=4, Add (3,5)=45 Failed, w=126\",\"Find(2)=4, Find(4)=4, Add (2,4)=47 Failed, w=126\",\"Find(0)=4, Find(2)=4, Add (0,2)=60 Failed, w=126\",\"Find(1)=4, Find(5)=4, Add (1,5)=67 Failed, w=126\",\"Find(2)=4, Find(6)=4, Add (2,6)=67 Failed, w=126\",\"Find(3)=4, Find(4)=4, Add (3,4)=82 Failed, w=126\",\"Find(0)=4, Find(6)=4, Add (0,6)=94 Failed, w=126\",\"Find(2)=4, Find(5)=4, Add (2,5)=97 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,60],[0,3,45],[0,4,25],[0,5,17],[0,6,94],[1,2,27],[1,3,17],[1,4,33],[1,5,67],[1,6,45],[2,3,22],[2,4,47],[2,5,97],[2,6,67],[3,4,82],[3,5,45],[3,6,26],[4,5,24],[4,6,20],[5,6,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=17,(1,3)=17,(4,6)=20,(2,3)=22,(4,5)=24,(0,4)=25,(3,6)=26,(1,2)=27,(1,4)=33,(5,6)=34,(0,3)=45,(1,6)=45,(3,5)=45,(2,4)=47,(0,2)=60,(1,5)=67,(2,6)=67,(3,4)=82,(0,6)=94,(2,5)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 0, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=17 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 0, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=20 Succeeded, w=54\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 0, 6: 4}, Find(2)=2, Find(3)=1, Add (2,3)=22 Succeeded, w=76\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 1, 4: 4, 5: 0, 6: 4}, Find(4)=4, Find(5)=0, Add (4,5)=24 Succeeded, w=100\",\"Parent: {0: 4, 1: 1, 2: 1, 3: 1, 4: 4, 5: 0, 6: 4}, Find(0)=4, Find(4)=4, Add (0,4)=25 Failed, w=100\",\"Parent: {0: 4, 1: 4, 2: 1, 3: 1, 4: 4, 5: 0, 6: 4}, Find(3)=1, Find(6)=4, Add (3,6)=26 Succeeded, w=126\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 1, 4: 4, 5: 0, 6: 4}, Find(1)=4, Find(2)=4, Add (1,2)=27 Failed, w=126\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 1, 4: 4, 5: 0, 6: 4}, Find(1)=4, Find(4)=4, Add (1,4)=33 Failed, w=126\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 1, 4: 4, 5: 4, 6: 4}, Find(5)=4, Find(6)=4, Add (5,6)=34 Failed, w=126\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(3)=4, Add (0,3)=45 Failed, w=126\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(6)=4, Add (1,6)=45 Failed, w=126\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(5)=4, Add (3,5)=45 Failed, w=126\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(4)=4, Add (2,4)=47 Failed, w=126\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(2)=4, Add (0,2)=60 Failed, w=126\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(5)=4, Add (1,5)=67 Failed, w=126\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(6)=4, Add (2,6)=67 Failed, w=126\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(4)=4, Add (3,4)=82 Failed, w=126\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(6)=4, Add (0,6)=94 Failed, w=126\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(5)=4, Add (2,5)=97 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,14],[0,2,9],[0,3,4],[0,4,35],[0,5,18],[0,6,11],[0,7,56],[1,2,55],[1,3,60],[1,4,79],[1,5,95],[1,6,1],[1,7,18],[2,3,97],[2,4,71],[2,5,26],[2,6,86],[2,7,70],[3,4,74],[3,5,55],[3,6,24],[3,7,57],[4,5,40],[4,6,22],[4,7,28],[5,6,19],[5,7,83],[6,7,77]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,14],[0,2,9],[0,3,4],[0,4,35],[0,5,18],[0,6,11],[0,7,56],[1,2,55],[1,3,60],[1,4,79],[1,5,95],[1,6,1],[1,7,18],[2,3,97],[2,4,71],[2,5,26],[2,6,86],[2,7,70],[3,4,74],[3,5,55],[3,6,24],[3,7,57],[4,5,40],[4,6,22],[4,7,28],[5,6,19],[5,7,83],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,14],[0,2,9],[0,3,4],[0,4,35],[0,5,18],[0,6,11],[0,7,56],[1,2,55],[1,3,60],[1,4,79],[1,5,95],[1,6,1],[1,7,18],[2,3,97],[2,4,71],[2,5,26],[2,6,86],[2,7,70],[3,4,74],[3,5,55],[3,6,24],[3,7,57],[4,5,40],[4,6,22],[4,7,28],[5,6,19],[5,7,83],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)\",\"Add (0,3)\",\"Add (0,2)\",\"Add (0,6)\",\"Add (0,5)\",\"Add (1,7)\",\"Add (4,6)\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,14],[0,2,9],[0,3,4],[0,4,35],[0,5,18],[0,6,11],[0,7,56],[1,2,55],[1,3,60],[1,4,79],[1,5,95],[1,6,1],[1,7,18],[2,3,97],[2,4,71],[2,5,26],[2,6,86],[2,7,70],[3,4,74],[3,5,55],[3,6,24],[3,7,57],[4,5,40],[4,6,22],[4,7,28],[5,6,19],[5,7,83],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=1, w=1\",\"Add (0,3)=4, w=5\",\"Add (0,2)=9, w=14\",\"Add (0,6)=11, w=25\",\"Add (0,5)=18, w=43\",\"Add (1,7)=18, w=61\",\"Add (4,6)=22, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,14],[0,2,9],[0,3,4],[0,4,35],[0,5,18],[0,6,11],[0,7,56],[1,2,55],[1,3,60],[1,4,79],[1,5,95],[1,6,1],[1,7,18],[2,3,97],[2,4,71],[2,5,26],[2,6,86],[2,7,70],[3,4,74],[3,5,55],[3,6,24],[3,7,57],[4,5,40],[4,6,22],[4,7,28],[5,6,19],[5,7,83],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,6)=1 Succeeded, w=1\",\"Add (0,3)=4 Succeeded, w=5\",\"Add (0,2)=9 Succeeded, w=14\",\"Add (0,6)=11 Succeeded, w=25\",\"Add (0,1)=14 Failed, w=25\",\"Add (0,5)=18 Succeeded, w=43\",\"Add (1,7)=18 Succeeded, w=61\",\"Add (5,6)=19 Failed, w=61\",\"Add (4,6)=22 Succeeded, w=83\",\"Add (3,6)=24 Failed, w=83\",\"Add (2,5)=26 Failed, w=83\",\"Add (4,7)=28 Failed, w=83\",\"Add (0,4)=35 Failed, w=83\",\"Add (4,5)=40 Failed, w=83\",\"Add (1,2)=55 Failed, w=83\",\"Add (3,5)=55 Failed, w=83\",\"Add (0,7)=56 Failed, w=83\",\"Add (3,7)=57 Failed, w=83\",\"Add (1,3)=60 Failed, w=83\",\"Add (2,7)=70 Failed, w=83\",\"Add (2,4)=71 Failed, w=83\",\"Add (3,4)=74 Failed, w=83\",\"Add (6,7)=77 Failed, w=83\",\"Add (1,4)=79 Failed, w=83\",\"Add (5,7)=83 Failed, w=83\",\"Add (2,6)=86 Failed, w=83\",\"Add (1,5)=95 Failed, w=83\",\"Add (2,3)=97 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,14],[0,2,9],[0,3,4],[0,4,35],[0,5,18],[0,6,11],[0,7,56],[1,2,55],[1,3,60],[1,4,79],[1,5,95],[1,6,1],[1,7,18],[2,3,97],[2,4,71],[2,5,26],[2,6,86],[2,7,70],[3,4,74],[3,5,55],[3,6,24],[3,7,57],[4,5,40],[4,6,22],[4,7,28],[5,6,19],[5,7,83],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=1,(0,3)=4,(0,2)=9,(0,6)=11,(0,1)=14,(0,5)=18,(1,7)=18,(5,6)=19,(4,6)=22,(3,6)=24,(2,5)=26,(4,7)=28,(0,4)=35,(4,5)=40,(1,2)=55,(3,5)=55,(0,7)=56,(3,7)=57,(1,3)=60,(2,7)=70,(2,4)=71,(3,4)=74,(6,7)=77,(1,4)=79,(5,7)=83,(2,6)=86,(1,5)=95,(2,3)=97]\",\"Process\":[\"Find(1)=1, Find(6)=6, Add (1,6)=1 Succeeded, w=1\",\"Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=5\",\"Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=14\",\"Find(0)=0, Find(6)=1, Add (0,6)=11 Succeeded, w=25\",\"Find(0)=0, Find(1)=0, Add (0,1)=14 Failed, w=25\",\"Find(0)=0, Find(5)=5, Add (0,5)=18 Succeeded, w=43\",\"Find(1)=0, Find(7)=7, Add (1,7)=18 Succeeded, w=61\",\"Find(5)=0, Find(6)=0, Add (5,6)=19 Failed, w=61\",\"Find(4)=4, Find(6)=0, Add (4,6)=22 Succeeded, w=83\",\"Find(3)=0, Find(6)=0, Add (3,6)=24 Failed, w=83\",\"Find(2)=0, Find(5)=0, Add (2,5)=26 Failed, w=83\",\"Find(4)=0, Find(7)=0, Add (4,7)=28 Failed, w=83\",\"Find(0)=0, Find(4)=0, Add (0,4)=35 Failed, w=83\",\"Find(4)=0, Find(5)=0, Add (4,5)=40 Failed, w=83\",\"Find(1)=0, Find(2)=0, Add (1,2)=55 Failed, w=83\",\"Find(3)=0, Find(5)=0, Add (3,5)=55 Failed, w=83\",\"Find(0)=0, Find(7)=0, Add (0,7)=56 Failed, w=83\",\"Find(3)=0, Find(7)=0, Add (3,7)=57 Failed, w=83\",\"Find(1)=0, Find(3)=0, Add (1,3)=60 Failed, w=83\",\"Find(2)=0, Find(7)=0, Add (2,7)=70 Failed, w=83\",\"Find(2)=0, Find(4)=0, Add (2,4)=71 Failed, w=83\",\"Find(3)=0, Find(4)=0, Add (3,4)=74 Failed, w=83\",\"Find(6)=0, Find(7)=0, Add (6,7)=77 Failed, w=83\",\"Find(1)=0, Find(4)=0, Add (1,4)=79 Failed, w=83\",\"Find(5)=0, Find(7)=0, Add (5,7)=83 Failed, w=83\",\"Find(2)=0, Find(6)=0, Add (2,6)=86 Failed, w=83\",\"Find(1)=0, Find(5)=0, Add (1,5)=95 Failed, w=83\",\"Find(2)=0, Find(3)=0, Add (2,3)=97 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,14],[0,2,9],[0,3,4],[0,4,35],[0,5,18],[0,6,11],[0,7,56],[1,2,55],[1,3,60],[1,4,79],[1,5,95],[1,6,1],[1,7,18],[2,3,97],[2,4,71],[2,5,26],[2,6,86],[2,7,70],[3,4,74],[3,5,55],[3,6,24],[3,7,57],[4,5,40],[4,6,22],[4,7,28],[5,6,19],[5,7,83],[6,7,77]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,6)=1,(0,3)=4,(0,2)=9,(0,6)=11,(0,1)=14,(0,5)=18,(1,7)=18,(5,6)=19,(4,6)=22,(3,6)=24,(2,5)=26,(4,7)=28,(0,4)=35,(4,5)=40,(1,2)=55,(3,5)=55,(0,7)=56,(3,7)=57,(1,3)=60,(2,7)=70,(2,4)=71,(3,4)=74,(6,7)=77,(1,4)=79,(5,7)=83,(2,6)=86,(1,5)=95,(2,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 1, 7: 7}, Find(1)=1, Find(6)=6, Add (1,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 1, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=4 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5, 6: 1, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5, 6: 1, 7: 7}, Find(0)=0, Find(6)=1, Add (0,6)=11 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 5, 6: 1, 7: 7}, Find(0)=0, Find(1)=0, Add (0,1)=14 Failed, w=25\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 1, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=18 Succeeded, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 1, 7: 0}, Find(1)=0, Find(7)=7, Add (1,7)=18 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=19 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=4, Find(6)=0, Add (4,6)=22 Succeeded, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=24 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=26 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=28 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=35 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=40 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=55 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=55 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=56 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=57 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=60 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=70 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=71 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(4)=0, Add (3,4)=74 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=77 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=79 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=83 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=86 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=95 Failed, w=83\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=97 Failed, w=83\"],\"Answer\":83}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,4,64],[1,2,42],[1,7,3],[2,3,4],[2,7,61],[3,4,64],[5,6,51]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,64],[1,2,42],[1,7,3],[2,3,4],[2,7,61],[3,4,64],[5,6,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":228}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,64],[1,2,42],[1,7,3],[2,3,4],[2,7,61],[3,4,64],[5,6,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)\",\"Add (2,3)\",\"Add (1,2)\",\"Add (5,6)\",\"Add (0,4)\",\"Add (3,4)\"],\"Answer\":228}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,64],[1,2,42],[1,7,3],[2,3,4],[2,7,61],[3,4,64],[5,6,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=3, w=3\",\"Add (2,3)=4, w=7\",\"Add (1,2)=42, w=49\",\"Add (5,6)=51, w=100\",\"Add (0,4)=64, w=164\",\"Add (3,4)=64, w=228\"],\"Answer\":228}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,64],[1,2,42],[1,7,3],[2,3,4],[2,7,61],[3,4,64],[5,6,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,7)=3 Succeeded, w=3\",\"Add (2,3)=4 Succeeded, w=7\",\"Add (1,2)=42 Succeeded, w=49\",\"Add (5,6)=51 Succeeded, w=100\",\"Add (2,7)=61 Failed, w=100\",\"Add (0,4)=64 Succeeded, w=164\",\"Add (3,4)=64 Succeeded, w=228\"],\"Answer\":228}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,64],[1,2,42],[1,7,3],[2,3,4],[2,7,61],[3,4,64],[5,6,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=3,(2,3)=4,(1,2)=42,(5,6)=51,(2,7)=61,(0,4)=64,(3,4)=64]\",\"Process\":[\"Find(1)=1, Find(7)=7, Add (1,7)=3 Succeeded, w=3\",\"Find(2)=2, Find(3)=3, Add (2,3)=4 Succeeded, w=7\",\"Find(1)=1, Find(2)=2, Add (1,2)=42 Succeeded, w=49\",\"Find(5)=5, Find(6)=6, Add (5,6)=51 Succeeded, w=100\",\"Find(2)=1, Find(7)=1, Add (2,7)=61 Failed, w=100\",\"Find(0)=0, Find(4)=4, Add (0,4)=64 Succeeded, w=164\",\"Find(3)=1, Find(4)=0, Add (3,4)=64 Succeeded, w=228\"],\"Answer\":228}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,64],[1,2,42],[1,7,3],[2,3,4],[2,7,61],[3,4,64],[5,6,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,7)=3,(2,3)=4,(1,2)=42,(5,6)=51,(2,7)=61,(0,4)=64,(3,4)=64]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6, 7: 1}, Find(2)=2, Find(3)=3, Add (2,3)=4 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 2, 4: 4, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(2)=2, Add (1,2)=42 Succeeded, w=49\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 2, 4: 4, 5: 5, 6: 5, 7: 1}, Find(5)=5, Find(6)=6, Add (5,6)=51 Succeeded, w=100\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 2, 4: 4, 5: 5, 6: 5, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=61 Failed, w=100\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 2, 4: 0, 5: 5, 6: 5, 7: 1}, Find(0)=0, Find(4)=4, Add (0,4)=64 Succeeded, w=164\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 5, 6: 5, 7: 1}, Find(3)=1, Find(4)=0, Add (3,4)=64 Succeeded, w=228\"],\"Answer\":228}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,70],[0,2,32],[0,3,8],[0,5,44],[0,6,27],[1,2,53],[1,3,7],[1,4,3],[1,5,91],[1,6,62],[2,3,84],[2,4,7],[2,5,40],[2,6,49],[3,4,89],[3,5,28],[3,6,88],[4,5,78],[4,6,33],[5,6,41]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,70],[0,2,32],[0,3,8],[0,5,44],[0,6,27],[1,2,53],[1,3,7],[1,4,3],[1,5,91],[1,6,62],[2,3,84],[2,4,7],[2,5,40],[2,6,49],[3,4,89],[3,5,28],[3,6,88],[4,5,78],[4,6,33],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,70],[0,2,32],[0,3,8],[0,5,44],[0,6,27],[1,2,53],[1,3,7],[1,4,3],[1,5,91],[1,6,62],[2,3,84],[2,4,7],[2,5,40],[2,6,49],[3,4,89],[3,5,28],[3,6,88],[4,5,78],[4,6,33],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (1,3)\",\"Add (2,4)\",\"Add (0,3)\",\"Add (0,6)\",\"Add (3,5)\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,70],[0,2,32],[0,3,8],[0,5,44],[0,6,27],[1,2,53],[1,3,7],[1,4,3],[1,5,91],[1,6,62],[2,3,84],[2,4,7],[2,5,40],[2,6,49],[3,4,89],[3,5,28],[3,6,88],[4,5,78],[4,6,33],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=3, w=3\",\"Add (1,3)=7, w=10\",\"Add (2,4)=7, w=17\",\"Add (0,3)=8, w=25\",\"Add (0,6)=27, w=52\",\"Add (3,5)=28, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,70],[0,2,32],[0,3,8],[0,5,44],[0,6,27],[1,2,53],[1,3,7],[1,4,3],[1,5,91],[1,6,62],[2,3,84],[2,4,7],[2,5,40],[2,6,49],[3,4,89],[3,5,28],[3,6,88],[4,5,78],[4,6,33],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=3 Succeeded, w=3\",\"Add (1,3)=7 Succeeded, w=10\",\"Add (2,4)=7 Succeeded, w=17\",\"Add (0,3)=8 Succeeded, w=25\",\"Add (0,6)=27 Succeeded, w=52\",\"Add (3,5)=28 Succeeded, w=80\",\"Add (0,2)=32 Failed, w=80\",\"Add (4,6)=33 Failed, w=80\",\"Add (2,5)=40 Failed, w=80\",\"Add (5,6)=41 Failed, w=80\",\"Add (0,5)=44 Failed, w=80\",\"Add (2,6)=49 Failed, w=80\",\"Add (1,2)=53 Failed, w=80\",\"Add (1,6)=62 Failed, w=80\",\"Add (0,1)=70 Failed, w=80\",\"Add (4,5)=78 Failed, w=80\",\"Add (2,3)=84 Failed, w=80\",\"Add (3,6)=88 Failed, w=80\",\"Add (3,4)=89 Failed, w=80\",\"Add (1,5)=91 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,70],[0,2,32],[0,3,8],[0,5,44],[0,6,27],[1,2,53],[1,3,7],[1,4,3],[1,5,91],[1,6,62],[2,3,84],[2,4,7],[2,5,40],[2,6,49],[3,4,89],[3,5,28],[3,6,88],[4,5,78],[4,6,33],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=3,(1,3)=7,(2,4)=7,(0,3)=8,(0,6)=27,(3,5)=28,(0,2)=32,(4,6)=33,(2,5)=40,(5,6)=41,(0,5)=44,(2,6)=49,(1,2)=53,(1,6)=62,(0,1)=70,(4,5)=78,(2,3)=84,(3,6)=88,(3,4)=89,(1,5)=91]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=3 Succeeded, w=3\",\"Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=10\",\"Find(2)=2, Find(4)=1, Add (2,4)=7 Succeeded, w=17\",\"Find(0)=0, Find(3)=1, Add (0,3)=8 Succeeded, w=25\",\"Find(0)=1, Find(6)=6, Add (0,6)=27 Succeeded, w=52\",\"Find(3)=1, Find(5)=5, Add (3,5)=28 Succeeded, w=80\",\"Find(0)=1, Find(2)=1, Add (0,2)=32 Failed, w=80\",\"Find(4)=1, Find(6)=1, Add (4,6)=33 Failed, w=80\",\"Find(2)=1, Find(5)=1, Add (2,5)=40 Failed, w=80\",\"Find(5)=1, Find(6)=1, Add (5,6)=41 Failed, w=80\",\"Find(0)=1, Find(5)=1, Add (0,5)=44 Failed, w=80\",\"Find(2)=1, Find(6)=1, Add (2,6)=49 Failed, w=80\",\"Find(1)=1, Find(2)=1, Add (1,2)=53 Failed, w=80\",\"Find(1)=1, Find(6)=1, Add (1,6)=62 Failed, w=80\",\"Find(0)=1, Find(1)=1, Add (0,1)=70 Failed, w=80\",\"Find(4)=1, Find(5)=1, Add (4,5)=78 Failed, w=80\",\"Find(2)=1, Find(3)=1, Add (2,3)=84 Failed, w=80\",\"Find(3)=1, Find(6)=1, Add (3,6)=88 Failed, w=80\",\"Find(3)=1, Find(4)=1, Add (3,4)=89 Failed, w=80\",\"Find(1)=1, Find(5)=1, Add (1,5)=91 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,70],[0,2,32],[0,3,8],[0,5,44],[0,6,27],[1,2,53],[1,3,7],[1,4,3],[1,5,91],[1,6,62],[2,3,84],[2,4,7],[2,5,40],[2,6,49],[3,4,89],[3,5,28],[3,6,88],[4,5,78],[4,6,33],[5,6,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=3,(1,3)=7,(2,4)=7,(0,3)=8,(0,6)=27,(3,5)=28,(0,2)=32,(4,6)=33,(2,5)=40,(5,6)=41,(0,5)=44,(2,6)=49,(1,2)=53,(1,6)=62,(0,1)=70,(4,5)=78,(2,3)=84,(3,6)=88,(3,4)=89,(1,5)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 6}, Find(2)=2, Find(4)=1, Add (2,4)=7 Succeeded, w=17\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 6}, Find(0)=0, Find(3)=1, Add (0,3)=8 Succeeded, w=25\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1}, Find(0)=1, Find(6)=6, Add (0,6)=27 Succeeded, w=52\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=5, Add (3,5)=28 Succeeded, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=32 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=33 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=40 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=41 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=44 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=49 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=53 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=62 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=70 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=78 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=84 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=88 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=89 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=1, Add (1,5)=91 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,69],[0,2,41],[0,3,89],[0,4,9],[0,5,0],[0,6,87],[0,7,35],[1,2,92],[1,3,67],[1,4,57],[1,5,40],[1,6,49],[1,7,2],[2,4,58],[2,5,58],[2,6,18],[2,7,42],[3,4,68],[3,5,34],[3,6,83],[3,7,60],[4,5,30],[4,6,68],[4,7,4],[5,6,77],[5,7,59],[6,7,53]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,69],[0,2,41],[0,3,89],[0,4,9],[0,5,0],[0,6,87],[0,7,35],[1,2,92],[1,3,67],[1,4,57],[1,5,40],[1,6,49],[1,7,2],[2,4,58],[2,5,58],[2,6,18],[2,7,42],[3,4,68],[3,5,34],[3,6,83],[3,7,60],[4,5,30],[4,6,68],[4,7,4],[5,6,77],[5,7,59],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,69],[0,2,41],[0,3,89],[0,4,9],[0,5,0],[0,6,87],[0,7,35],[1,2,92],[1,3,67],[1,4,57],[1,5,40],[1,6,49],[1,7,2],[2,4,58],[2,5,58],[2,6,18],[2,7,42],[3,4,68],[3,5,34],[3,6,83],[3,7,60],[4,5,30],[4,6,68],[4,7,4],[5,6,77],[5,7,59],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (1,7)\",\"Add (4,7)\",\"Add (0,4)\",\"Add (2,6)\",\"Add (3,5)\",\"Add (0,2)\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,69],[0,2,41],[0,3,89],[0,4,9],[0,5,0],[0,6,87],[0,7,35],[1,2,92],[1,3,67],[1,4,57],[1,5,40],[1,6,49],[1,7,2],[2,4,58],[2,5,58],[2,6,18],[2,7,42],[3,4,68],[3,5,34],[3,6,83],[3,7,60],[4,5,30],[4,6,68],[4,7,4],[5,6,77],[5,7,59],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=0, w=0\",\"Add (1,7)=2, w=2\",\"Add (4,7)=4, w=6\",\"Add (0,4)=9, w=15\",\"Add (2,6)=18, w=33\",\"Add (3,5)=34, w=67\",\"Add (0,2)=41, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,69],[0,2,41],[0,3,89],[0,4,9],[0,5,0],[0,6,87],[0,7,35],[1,2,92],[1,3,67],[1,4,57],[1,5,40],[1,6,49],[1,7,2],[2,4,58],[2,5,58],[2,6,18],[2,7,42],[3,4,68],[3,5,34],[3,6,83],[3,7,60],[4,5,30],[4,6,68],[4,7,4],[5,6,77],[5,7,59],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=0 Succeeded, w=0\",\"Add (1,7)=2 Succeeded, w=2\",\"Add (4,7)=4 Succeeded, w=6\",\"Add (0,4)=9 Succeeded, w=15\",\"Add (2,6)=18 Succeeded, w=33\",\"Add (4,5)=30 Failed, w=33\",\"Add (3,5)=34 Succeeded, w=67\",\"Add (0,7)=35 Failed, w=67\",\"Add (1,5)=40 Failed, w=67\",\"Add (0,2)=41 Succeeded, w=108\",\"Add (2,7)=42 Failed, w=108\",\"Add (1,6)=49 Failed, w=108\",\"Add (6,7)=53 Failed, w=108\",\"Add (1,4)=57 Failed, w=108\",\"Add (2,4)=58 Failed, w=108\",\"Add (2,5)=58 Failed, w=108\",\"Add (5,7)=59 Failed, w=108\",\"Add (3,7)=60 Failed, w=108\",\"Add (1,3)=67 Failed, w=108\",\"Add (3,4)=68 Failed, w=108\",\"Add (4,6)=68 Failed, w=108\",\"Add (0,1)=69 Failed, w=108\",\"Add (5,6)=77 Failed, w=108\",\"Add (3,6)=83 Failed, w=108\",\"Add (0,6)=87 Failed, w=108\",\"Add (0,3)=89 Failed, w=108\",\"Add (1,2)=92 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,69],[0,2,41],[0,3,89],[0,4,9],[0,5,0],[0,6,87],[0,7,35],[1,2,92],[1,3,67],[1,4,57],[1,5,40],[1,6,49],[1,7,2],[2,4,58],[2,5,58],[2,6,18],[2,7,42],[3,4,68],[3,5,34],[3,6,83],[3,7,60],[4,5,30],[4,6,68],[4,7,4],[5,6,77],[5,7,59],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=0,(1,7)=2,(4,7)=4,(0,4)=9,(2,6)=18,(4,5)=30,(3,5)=34,(0,7)=35,(1,5)=40,(0,2)=41,(2,7)=42,(1,6)=49,(6,7)=53,(1,4)=57,(2,4)=58,(2,5)=58,(5,7)=59,(3,7)=60,(1,3)=67,(3,4)=68,(4,6)=68,(0,1)=69,(5,6)=77,(3,6)=83,(0,6)=87,(0,3)=89,(1,2)=92]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=0 Succeeded, w=0\",\"Find(1)=1, Find(7)=7, Add (1,7)=2 Succeeded, w=2\",\"Find(4)=4, Find(7)=1, Add (4,7)=4 Succeeded, w=6\",\"Find(0)=0, Find(4)=1, Add (0,4)=9 Succeeded, w=15\",\"Find(2)=2, Find(6)=6, Add (2,6)=18 Succeeded, w=33\",\"Find(4)=0, Find(5)=0, Add (4,5)=30 Failed, w=33\",\"Find(3)=3, Find(5)=0, Add (3,5)=34 Succeeded, w=67\",\"Find(0)=0, Find(7)=0, Add (0,7)=35 Failed, w=67\",\"Find(1)=0, Find(5)=0, Add (1,5)=40 Failed, w=67\",\"Find(0)=0, Find(2)=2, Add (0,2)=41 Succeeded, w=108\",\"Find(2)=0, Find(7)=0, Add (2,7)=42 Failed, w=108\",\"Find(1)=0, Find(6)=0, Add (1,6)=49 Failed, w=108\",\"Find(6)=0, Find(7)=0, Add (6,7)=53 Failed, w=108\",\"Find(1)=0, Find(4)=0, Add (1,4)=57 Failed, w=108\",\"Find(2)=0, Find(4)=0, Add (2,4)=58 Failed, w=108\",\"Find(2)=0, Find(5)=0, Add (2,5)=58 Failed, w=108\",\"Find(5)=0, Find(7)=0, Add (5,7)=59 Failed, w=108\",\"Find(3)=0, Find(7)=0, Add (3,7)=60 Failed, w=108\",\"Find(1)=0, Find(3)=0, Add (1,3)=67 Failed, w=108\",\"Find(3)=0, Find(4)=0, Add (3,4)=68 Failed, w=108\",\"Find(4)=0, Find(6)=0, Add (4,6)=68 Failed, w=108\",\"Find(0)=0, Find(1)=0, Add (0,1)=69 Failed, w=108\",\"Find(5)=0, Find(6)=0, Add (5,6)=77 Failed, w=108\",\"Find(3)=0, Find(6)=0, Add (3,6)=83 Failed, w=108\",\"Find(0)=0, Find(6)=0, Add (0,6)=87 Failed, w=108\",\"Find(0)=0, Find(3)=0, Add (0,3)=89 Failed, w=108\",\"Find(1)=0, Find(2)=0, Add (1,2)=92 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,69],[0,2,41],[0,3,89],[0,4,9],[0,5,0],[0,6,87],[0,7,35],[1,2,92],[1,3,67],[1,4,57],[1,5,40],[1,6,49],[1,7,2],[2,4,58],[2,5,58],[2,6,18],[2,7,42],[3,4,68],[3,5,34],[3,6,83],[3,7,60],[4,5,30],[4,6,68],[4,7,4],[5,6,77],[5,7,59],[6,7,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=0,(1,7)=2,(4,7)=4,(0,4)=9,(2,6)=18,(4,5)=30,(3,5)=34,(0,7)=35,(1,5)=40,(0,2)=41,(2,7)=42,(1,6)=49,(6,7)=53,(1,4)=57,(2,4)=58,(2,5)=58,(5,7)=59,(3,7)=60,(1,3)=67,(3,4)=68,(4,6)=68,(0,1)=69,(5,6)=77,(3,6)=83,(0,6)=87,(0,3)=89,(1,2)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 0, 6: 6, 7: 1}, Find(4)=4, Find(7)=1, Add (4,7)=4 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 1, 5: 0, 6: 6, 7: 1}, Find(0)=0, Find(4)=1, Add (0,4)=9 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 1, 5: 0, 6: 2, 7: 1}, Find(2)=2, Find(6)=6, Add (2,6)=18 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0, 6: 2, 7: 1}, Find(4)=0, Find(5)=0, Add (4,5)=30 Failed, w=33\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 2, 7: 1}, Find(3)=3, Find(5)=0, Add (3,5)=34 Succeeded, w=67\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=35 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=40 Failed, w=67\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(0)=0, Find(2)=2, Add (0,2)=41 Succeeded, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=42 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=49 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=53 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=57 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=58 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=58 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=59 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=60 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=67 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(4)=0, Add (3,4)=68 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=68 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=69 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=77 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=83 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=87 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=89 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=92 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,12],[0,2,49],[0,3,88],[1,2,10],[1,4,64],[2,4,47],[3,5,0]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,12],[0,2,49],[0,3,88],[1,2,10],[1,4,64],[2,4,47],[3,5,0]]}",
"role": "user"
},
{
"content": "{\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,12],[0,2,49],[0,3,88],[1,2,10],[1,4,64],[2,4,47],[3,5,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (1,2)\",\"Add (0,1)\",\"Add (2,4)\",\"Add (0,3)\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,12],[0,2,49],[0,3,88],[1,2,10],[1,4,64],[2,4,47],[3,5,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=0, w=0\",\"Add (1,2)=10, w=10\",\"Add (0,1)=12, w=22\",\"Add (2,4)=47, w=69\",\"Add (0,3)=88, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,12],[0,2,49],[0,3,88],[1,2,10],[1,4,64],[2,4,47],[3,5,0]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=0 Succeeded, w=0\",\"Add (1,2)=10 Succeeded, w=10\",\"Add (0,1)=12 Succeeded, w=22\",\"Add (2,4)=47 Succeeded, w=69\",\"Add (0,2)=49 Failed, w=69\",\"Add (1,4)=64 Failed, w=69\",\"Add (0,3)=88 Succeeded, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,12],[0,2,49],[0,3,88],[1,2,10],[1,4,64],[2,4,47],[3,5,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=0,(1,2)=10,(0,1)=12,(2,4)=47,(0,2)=49,(1,4)=64,(0,3)=88]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=0 Succeeded, w=0\",\"Find(1)=1, Find(2)=2, Add (1,2)=10 Succeeded, w=10\",\"Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=22\",\"Find(2)=1, Find(4)=4, Add (2,4)=47 Succeeded, w=69\",\"Find(0)=1, Find(2)=1, Add (0,2)=49 Failed, w=69\",\"Find(1)=1, Find(4)=1, Add (1,4)=64 Failed, w=69\",\"Find(0)=1, Find(3)=3, Add (0,3)=88 Succeeded, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,12],[0,2,49],[0,3,88],[1,2,10],[1,4,64],[2,4,47],[3,5,0]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=0,(1,2)=10,(0,1)=12,(2,4)=47,(0,2)=49,(1,4)=64,(0,3)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 3}, Find(1)=1, Find(2)=2, Add (1,2)=10 Succeeded, w=10\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 3}, Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=22\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 3}, Find(2)=1, Find(4)=4, Add (2,4)=47 Succeeded, w=69\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 3}, Find(0)=1, Find(2)=1, Add (0,2)=49 Failed, w=69\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 3}, Find(1)=1, Find(4)=1, Add (1,4)=64 Failed, w=69\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 3}, Find(0)=1, Find(3)=3, Add (0,3)=88 Succeeded, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,21],[1,2,1],[2,3,4],[3,4,50]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,21],[1,2,1],[2,3,4],[3,4,50]]}",
"role": "user"
},
{
"content": "{\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,21],[1,2,1],[2,3,4],[3,4,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,3)\",\"Add (0,2)\",\"Add (3,4)\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,21],[1,2,1],[2,3,4],[3,4,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1, w=1\",\"Add (2,3)=4, w=5\",\"Add (0,2)=21, w=26\",\"Add (3,4)=50, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,21],[1,2,1],[2,3,4],[3,4,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1 Succeeded, w=1\",\"Add (2,3)=4 Succeeded, w=5\",\"Add (0,2)=21 Succeeded, w=26\",\"Add (3,4)=50 Succeeded, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,21],[1,2,1],[2,3,4],[3,4,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(2,3)=4,(0,2)=21,(3,4)=50]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Find(2)=1, Find(3)=3, Add (2,3)=4 Succeeded, w=5\",\"Find(0)=0, Find(2)=1, Add (0,2)=21 Succeeded, w=26\",\"Find(3)=1, Find(4)=4, Add (3,4)=50 Succeeded, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,21],[1,2,1],[2,3,4],[3,4,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(2,3)=4,(0,2)=21,(3,4)=50]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(2)=1, Find(3)=3, Add (2,3)=4 Succeeded, w=5\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(0)=0, Find(2)=1, Add (0,2)=21 Succeeded, w=26\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=4, Add (3,4)=50 Succeeded, w=76\"],\"Answer\":76}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,61],[0,2,97],[0,4,94],[0,5,5],[1,4,93],[2,3,93],[2,4,30],[2,5,65],[4,5,75]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,97],[0,4,94],[0,5,5],[1,4,93],[2,3,93],[2,4,30],[2,5,65],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Answer\":254}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,97],[0,4,94],[0,5,5],[1,4,93],[2,3,93],[2,4,30],[2,5,65],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (2,4)\",\"Add (0,1)\",\"Add (2,5)\",\"Add (2,3)\"],\"Answer\":254}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,97],[0,4,94],[0,5,5],[1,4,93],[2,3,93],[2,4,30],[2,5,65],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=5, w=5\",\"Add (2,4)=30, w=35\",\"Add (0,1)=61, w=96\",\"Add (2,5)=65, w=161\",\"Add (2,3)=93, w=254\"],\"Answer\":254}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,97],[0,4,94],[0,5,5],[1,4,93],[2,3,93],[2,4,30],[2,5,65],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=5 Succeeded, w=5\",\"Add (2,4)=30 Succeeded, w=35\",\"Add (0,1)=61 Succeeded, w=96\",\"Add (2,5)=65 Succeeded, w=161\",\"Add (4,5)=75 Failed, w=161\",\"Add (1,4)=93 Failed, w=161\",\"Add (2,3)=93 Succeeded, w=254\",\"Add (0,4)=94 Failed, w=254\",\"Add (0,2)=97 Failed, w=254\"],\"Answer\":254}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,97],[0,4,94],[0,5,5],[1,4,93],[2,3,93],[2,4,30],[2,5,65],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=5,(2,4)=30,(0,1)=61,(2,5)=65,(4,5)=75,(1,4)=93,(2,3)=93,(0,4)=94,(0,2)=97]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=5 Succeeded, w=5\",\"Find(2)=2, Find(4)=4, Add (2,4)=30 Succeeded, w=35\",\"Find(0)=0, Find(1)=1, Add (0,1)=61 Succeeded, w=96\",\"Find(2)=2, Find(5)=0, Add (2,5)=65 Succeeded, w=161\",\"Find(4)=2, Find(5)=2, Add (4,5)=75 Failed, w=161\",\"Find(1)=2, Find(4)=2, Add (1,4)=93 Failed, w=161\",\"Find(2)=2, Find(3)=3, Add (2,3)=93 Succeeded, w=254\",\"Find(0)=2, Find(4)=2, Add (0,4)=94 Failed, w=254\",\"Find(0)=2, Find(2)=2, Add (0,2)=97 Failed, w=254\"],\"Answer\":254}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,61],[0,2,97],[0,4,94],[0,5,5],[1,4,93],[2,3,93],[2,4,30],[2,5,65],[4,5,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=5,(2,4)=30,(0,1)=61,(2,5)=65,(4,5)=75,(1,4)=93,(2,3)=93,(0,4)=94,(0,2)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 0}, Find(2)=2, Find(4)=4, Add (2,4)=30 Succeeded, w=35\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 0}, Find(0)=0, Find(1)=1, Add (0,1)=61 Succeeded, w=96\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 3, 4: 2, 5: 0}, Find(2)=2, Find(5)=0, Add (2,5)=65 Succeeded, w=161\",\"Parent: {0: 2, 1: 0, 2: 2, 3: 3, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=75 Failed, w=161\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=93 Failed, w=161\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=3, Add (2,3)=93 Succeeded, w=254\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=94 Failed, w=254\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=97 Failed, w=254\"],\"Answer\":254}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,65],[0,2,91],[0,3,62],[0,4,2],[1,2,72],[1,3,83],[1,4,45],[2,4,13],[2,5,46],[3,4,58],[3,5,10],[4,5,59]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,2,91],[0,3,62],[0,4,2],[1,2,72],[1,3,83],[1,4,45],[2,4,13],[2,5,46],[3,4,58],[3,5,10],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,2,91],[0,3,62],[0,4,2],[1,2,72],[1,3,83],[1,4,45],[2,4,13],[2,5,46],[3,4,58],[3,5,10],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (3,5)\",\"Add (2,4)\",\"Add (1,4)\",\"Add (2,5)\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,2,91],[0,3,62],[0,4,2],[1,2,72],[1,3,83],[1,4,45],[2,4,13],[2,5,46],[3,4,58],[3,5,10],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=2, w=2\",\"Add (3,5)=10, w=12\",\"Add (2,4)=13, w=25\",\"Add (1,4)=45, w=70\",\"Add (2,5)=46, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,2,91],[0,3,62],[0,4,2],[1,2,72],[1,3,83],[1,4,45],[2,4,13],[2,5,46],[3,4,58],[3,5,10],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=2 Succeeded, w=2\",\"Add (3,5)=10 Succeeded, w=12\",\"Add (2,4)=13 Succeeded, w=25\",\"Add (1,4)=45 Succeeded, w=70\",\"Add (2,5)=46 Succeeded, w=116\",\"Add (3,4)=58 Failed, w=116\",\"Add (4,5)=59 Failed, w=116\",\"Add (0,3)=62 Failed, w=116\",\"Add (0,1)=65 Failed, w=116\",\"Add (1,2)=72 Failed, w=116\",\"Add (1,3)=83 Failed, w=116\",\"Add (0,2)=91 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,2,91],[0,3,62],[0,4,2],[1,2,72],[1,3,83],[1,4,45],[2,4,13],[2,5,46],[3,4,58],[3,5,10],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=2,(3,5)=10,(2,4)=13,(1,4)=45,(2,5)=46,(3,4)=58,(4,5)=59,(0,3)=62,(0,1)=65,(1,2)=72,(1,3)=83,(0,2)=91]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=2\",\"Find(3)=3, Find(5)=5, Add (3,5)=10 Succeeded, w=12\",\"Find(2)=2, Find(4)=0, Add (2,4)=13 Succeeded, w=25\",\"Find(1)=1, Find(4)=0, Add (1,4)=45 Succeeded, w=70\",\"Find(2)=0, Find(5)=3, Add (2,5)=46 Succeeded, w=116\",\"Find(3)=0, Find(4)=0, Add (3,4)=58 Failed, w=116\",\"Find(4)=0, Find(5)=0, Add (4,5)=59 Failed, w=116\",\"Find(0)=0, Find(3)=0, Add (0,3)=62 Failed, w=116\",\"Find(0)=0, Find(1)=0, Add (0,1)=65 Failed, w=116\",\"Find(1)=0, Find(2)=0, Add (1,2)=72 Failed, w=116\",\"Find(1)=0, Find(3)=0, Add (1,3)=83 Failed, w=116\",\"Find(0)=0, Find(2)=0, Add (0,2)=91 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,65],[0,2,91],[0,3,62],[0,4,2],[1,2,72],[1,3,83],[1,4,45],[2,4,13],[2,5,46],[3,4,58],[3,5,10],[4,5,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=2,(3,5)=10,(2,4)=13,(1,4)=45,(2,5)=46,(3,4)=58,(4,5)=59,(0,3)=62,(0,1)=65,(1,2)=72,(1,3)=83,(0,2)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=10 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 3}, Find(2)=2, Find(4)=0, Add (2,4)=13 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 3}, Find(1)=1, Find(4)=0, Add (1,4)=45 Succeeded, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3}, Find(2)=0, Find(5)=3, Add (2,5)=46 Succeeded, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3}, Find(3)=0, Find(4)=0, Add (3,4)=58 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=59 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=62 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=65 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=72 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=83 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=91 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,54],[0,2,84],[0,3,6],[1,2,51],[1,3,52]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,2,84],[0,3,6],[1,2,51],[1,3,52]]}",
"role": "user"
},
{
"content": "{\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,2,84],[0,3,6],[1,2,51],[1,3,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (1,3)\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,2,84],[0,3,6],[1,2,51],[1,3,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=6, w=6\",\"Add (1,2)=51, w=57\",\"Add (1,3)=52, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,2,84],[0,3,6],[1,2,51],[1,3,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=6 Succeeded, w=6\",\"Add (1,2)=51 Succeeded, w=57\",\"Add (1,3)=52 Succeeded, w=109\",\"Add (0,1)=54 Failed, w=109\",\"Add (0,2)=84 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,2,84],[0,3,6],[1,2,51],[1,3,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=6,(1,2)=51,(1,3)=52,(0,1)=54,(0,2)=84]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Find(1)=1, Find(2)=2, Add (1,2)=51 Succeeded, w=57\",\"Find(1)=1, Find(3)=0, Add (1,3)=52 Succeeded, w=109\",\"Find(0)=1, Find(1)=1, Add (0,1)=54 Failed, w=109\",\"Find(0)=1, Find(2)=1, Add (0,2)=84 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,2,84],[0,3,6],[1,2,51],[1,3,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=6,(1,2)=51,(1,3)=52,(0,1)=54,(0,2)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(1)=1, Find(2)=2, Add (1,2)=51 Succeeded, w=57\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=52 Succeeded, w=109\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(0)=1, Find(1)=1, Add (0,1)=54 Failed, w=109\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0}, Find(0)=1, Find(2)=1, Add (0,2)=84 Failed, w=109\"],\"Answer\":109}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,44],[0,2,73],[0,3,95],[0,4,58],[0,5,17],[1,2,5],[1,3,99],[1,4,62],[1,5,29],[2,4,1],[2,5,13],[3,5,75]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,44],[0,2,73],[0,3,95],[0,4,58],[0,5,17],[1,2,5],[1,3,99],[1,4,62],[1,5,29],[2,4,1],[2,5,13],[3,5,75]]}",
"role": "user"
},
{
"content": "{\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,44],[0,2,73],[0,3,95],[0,4,58],[0,5,17],[1,2,5],[1,3,99],[1,4,62],[1,5,29],[2,4,1],[2,5,13],[3,5,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,2)\",\"Add (2,5)\",\"Add (0,5)\",\"Add (3,5)\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,44],[0,2,73],[0,3,95],[0,4,58],[0,5,17],[1,2,5],[1,3,99],[1,4,62],[1,5,29],[2,4,1],[2,5,13],[3,5,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1, w=1\",\"Add (1,2)=5, w=6\",\"Add (2,5)=13, w=19\",\"Add (0,5)=17, w=36\",\"Add (3,5)=75, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,44],[0,2,73],[0,3,95],[0,4,58],[0,5,17],[1,2,5],[1,3,99],[1,4,62],[1,5,29],[2,4,1],[2,5,13],[3,5,75]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1 Succeeded, w=1\",\"Add (1,2)=5 Succeeded, w=6\",\"Add (2,5)=13 Succeeded, w=19\",\"Add (0,5)=17 Succeeded, w=36\",\"Add (1,5)=29 Failed, w=36\",\"Add (0,1)=44 Failed, w=36\",\"Add (0,4)=58 Failed, w=36\",\"Add (1,4)=62 Failed, w=36\",\"Add (0,2)=73 Failed, w=36\",\"Add (3,5)=75 Succeeded, w=111\",\"Add (0,3)=95 Failed, w=111\",\"Add (1,3)=99 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,44],[0,2,73],[0,3,95],[0,4,58],[0,5,17],[1,2,5],[1,3,99],[1,4,62],[1,5,29],[2,4,1],[2,5,13],[3,5,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(1,2)=5,(2,5)=13,(0,5)=17,(1,5)=29,(0,1)=44,(0,4)=58,(1,4)=62,(0,2)=73,(3,5)=75,(0,3)=95,(1,3)=99]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=6\",\"Find(2)=2, Find(5)=5, Add (2,5)=13 Succeeded, w=19\",\"Find(0)=0, Find(5)=2, Add (0,5)=17 Succeeded, w=36\",\"Find(1)=2, Find(5)=2, Add (1,5)=29 Failed, w=36\",\"Find(0)=2, Find(1)=2, Add (0,1)=44 Failed, w=36\",\"Find(0)=2, Find(4)=2, Add (0,4)=58 Failed, w=36\",\"Find(1)=2, Find(4)=2, Add (1,4)=62 Failed, w=36\",\"Find(0)=2, Find(2)=2, Add (0,2)=73 Failed, w=36\",\"Find(3)=3, Find(5)=2, Add (3,5)=75 Succeeded, w=111\",\"Find(0)=2, Find(3)=2, Add (0,3)=95 Failed, w=111\",\"Find(1)=2, Find(3)=2, Add (1,3)=99 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,44],[0,2,73],[0,3,95],[0,4,58],[0,5,17],[1,2,5],[1,3,99],[1,4,62],[1,5,29],[2,4,1],[2,5,13],[3,5,75]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(1,2)=5,(2,5)=13,(0,5)=17,(1,5)=29,(0,1)=44,(0,4)=58,(1,4)=62,(0,2)=73,(3,5)=75,(0,3)=95,(1,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=6\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=13 Succeeded, w=19\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(0)=0, Find(5)=2, Add (0,5)=17 Succeeded, w=36\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=29 Failed, w=36\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=44 Failed, w=36\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=58 Failed, w=36\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=62 Failed, w=36\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=73 Failed, w=36\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=3, Find(5)=2, Add (3,5)=75 Succeeded, w=111\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=2, Add (0,3)=95 Failed, w=111\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=99 Failed, w=111\"],\"Answer\":111}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,56],[0,2,42],[0,3,35],[0,4,61],[0,5,16],[0,6,39],[1,2,71],[1,3,89],[1,4,90],[1,5,50],[1,6,65],[2,3,12],[2,4,38],[2,5,27],[2,6,89],[3,4,46],[3,5,41],[3,6,59],[4,5,43],[4,6,81],[5,6,21]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,56],[0,2,42],[0,3,35],[0,4,61],[0,5,16],[0,6,39],[1,2,71],[1,3,89],[1,4,90],[1,5,50],[1,6,65],[2,3,12],[2,4,38],[2,5,27],[2,6,89],[3,4,46],[3,5,41],[3,6,59],[4,5,43],[4,6,81],[5,6,21]]}",
"role": "user"
},
{
"content": "{\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,56],[0,2,42],[0,3,35],[0,4,61],[0,5,16],[0,6,39],[1,2,71],[1,3,89],[1,4,90],[1,5,50],[1,6,65],[2,3,12],[2,4,38],[2,5,27],[2,6,89],[3,4,46],[3,5,41],[3,6,59],[4,5,43],[4,6,81],[5,6,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,5)\",\"Add (5,6)\",\"Add (2,5)\",\"Add (2,4)\",\"Add (1,5)\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,56],[0,2,42],[0,3,35],[0,4,61],[0,5,16],[0,6,39],[1,2,71],[1,3,89],[1,4,90],[1,5,50],[1,6,65],[2,3,12],[2,4,38],[2,5,27],[2,6,89],[3,4,46],[3,5,41],[3,6,59],[4,5,43],[4,6,81],[5,6,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=12, w=12\",\"Add (0,5)=16, w=28\",\"Add (5,6)=21, w=49\",\"Add (2,5)=27, w=76\",\"Add (2,4)=38, w=114\",\"Add (1,5)=50, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,56],[0,2,42],[0,3,35],[0,4,61],[0,5,16],[0,6,39],[1,2,71],[1,3,89],[1,4,90],[1,5,50],[1,6,65],[2,3,12],[2,4,38],[2,5,27],[2,6,89],[3,4,46],[3,5,41],[3,6,59],[4,5,43],[4,6,81],[5,6,21]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=12 Succeeded, w=12\",\"Add (0,5)=16 Succeeded, w=28\",\"Add (5,6)=21 Succeeded, w=49\",\"Add (2,5)=27 Succeeded, w=76\",\"Add (0,3)=35 Failed, w=76\",\"Add (2,4)=38 Succeeded, w=114\",\"Add (0,6)=39 Failed, w=114\",\"Add (3,5)=41 Failed, w=114\",\"Add (0,2)=42 Failed, w=114\",\"Add (4,5)=43 Failed, w=114\",\"Add (3,4)=46 Failed, w=114\",\"Add (1,5)=50 Succeeded, w=164\",\"Add (0,1)=56 Failed, w=164\",\"Add (3,6)=59 Failed, w=164\",\"Add (0,4)=61 Failed, w=164\",\"Add (1,6)=65 Failed, w=164\",\"Add (1,2)=71 Failed, w=164\",\"Add (4,6)=81 Failed, w=164\",\"Add (1,3)=89 Failed, w=164\",\"Add (2,6)=89 Failed, w=164\",\"Add (1,4)=90 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,56],[0,2,42],[0,3,35],[0,4,61],[0,5,16],[0,6,39],[1,2,71],[1,3,89],[1,4,90],[1,5,50],[1,6,65],[2,3,12],[2,4,38],[2,5,27],[2,6,89],[3,4,46],[3,5,41],[3,6,59],[4,5,43],[4,6,81],[5,6,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=12,(0,5)=16,(5,6)=21,(2,5)=27,(0,3)=35,(2,4)=38,(0,6)=39,(3,5)=41,(0,2)=42,(4,5)=43,(3,4)=46,(1,5)=50,(0,1)=56,(3,6)=59,(0,4)=61,(1,6)=65,(1,2)=71,(4,6)=81,(1,3)=89,(2,6)=89,(1,4)=90]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=12\",\"Find(0)=0, Find(5)=5, Add (0,5)=16 Succeeded, w=28\",\"Find(5)=0, Find(6)=6, Add (5,6)=21 Succeeded, w=49\",\"Find(2)=2, Find(5)=0, Add (2,5)=27 Succeeded, w=76\",\"Find(0)=2, Find(3)=2, Add (0,3)=35 Failed, w=76\",\"Find(2)=2, Find(4)=4, Add (2,4)=38 Succeeded, w=114\",\"Find(0)=2, Find(6)=2, Add (0,6)=39 Failed, w=114\",\"Find(3)=2, Find(5)=2, Add (3,5)=41 Failed, w=114\",\"Find(0)=2, Find(2)=2, Add (0,2)=42 Failed, w=114\",\"Find(4)=2, Find(5)=2, Add (4,5)=43 Failed, w=114\",\"Find(3)=2, Find(4)=2, Add (3,4)=46 Failed, w=114\",\"Find(1)=1, Find(5)=2, Add (1,5)=50 Succeeded, w=164\",\"Find(0)=2, Find(1)=2, Add (0,1)=56 Failed, w=164\",\"Find(3)=2, Find(6)=2, Add (3,6)=59 Failed, w=164\",\"Find(0)=2, Find(4)=2, Add (0,4)=61 Failed, w=164\",\"Find(1)=2, Find(6)=2, Add (1,6)=65 Failed, w=164\",\"Find(1)=2, Find(2)=2, Add (1,2)=71 Failed, w=164\",\"Find(4)=2, Find(6)=2, Add (4,6)=81 Failed, w=164\",\"Find(1)=2, Find(3)=2, Add (1,3)=89 Failed, w=164\",\"Find(2)=2, Find(6)=2, Add (2,6)=89 Failed, w=164\",\"Find(1)=2, Find(4)=2, Add (1,4)=90 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,56],[0,2,42],[0,3,35],[0,4,61],[0,5,16],[0,6,39],[1,2,71],[1,3,89],[1,4,90],[1,5,50],[1,6,65],[2,3,12],[2,4,38],[2,5,27],[2,6,89],[3,4,46],[3,5,41],[3,6,59],[4,5,43],[4,6,81],[5,6,21]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=12,(0,5)=16,(5,6)=21,(2,5)=27,(0,3)=35,(2,4)=38,(0,6)=39,(3,5)=41,(0,2)=42,(4,5)=43,(3,4)=46,(1,5)=50,(0,1)=56,(3,6)=59,(0,4)=61,(1,6)=65,(1,2)=71,(4,6)=81,(1,3)=89,(2,6)=89,(1,4)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=16 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 0, 6: 0}, Find(5)=0, Find(6)=6, Add (5,6)=21 Succeeded, w=49\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 0, 6: 0}, Find(2)=2, Find(5)=0, Add (2,5)=27 Succeeded, w=76\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 0, 6: 0}, Find(0)=2, Find(3)=2, Add (0,3)=35 Failed, w=76\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 0, 6: 0}, Find(2)=2, Find(4)=4, Add (2,4)=38 Succeeded, w=114\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 0, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=39 Failed, w=114\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=41 Failed, w=114\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=42 Failed, w=114\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=43 Failed, w=114\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=46 Failed, w=114\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=1, Find(5)=2, Add (1,5)=50 Succeeded, w=164\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=56 Failed, w=164\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=59 Failed, w=164\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=61 Failed, w=164\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=65 Failed, w=164\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=71 Failed, w=164\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=81 Failed, w=164\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=89 Failed, w=164\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=89 Failed, w=164\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=90 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,28],[0,2,30],[0,3,33],[0,4,10],[0,5,77],[1,2,15],[1,3,94],[1,4,26],[1,5,33],[2,3,58],[3,4,91],[3,5,69],[4,5,26]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,28],[0,2,30],[0,3,33],[0,4,10],[0,5,77],[1,2,15],[1,3,94],[1,4,26],[1,5,33],[2,3,58],[3,4,91],[3,5,69],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,28],[0,2,30],[0,3,33],[0,4,10],[0,5,77],[1,2,15],[1,3,94],[1,4,26],[1,5,33],[2,3,58],[3,4,91],[3,5,69],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,2)\",\"Add (1,4)\",\"Add (4,5)\",\"Add (0,3)\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,28],[0,2,30],[0,3,33],[0,4,10],[0,5,77],[1,2,15],[1,3,94],[1,4,26],[1,5,33],[2,3,58],[3,4,91],[3,5,69],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=10, w=10\",\"Add (1,2)=15, w=25\",\"Add (1,4)=26, w=51\",\"Add (4,5)=26, w=77\",\"Add (0,3)=33, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,28],[0,2,30],[0,3,33],[0,4,10],[0,5,77],[1,2,15],[1,3,94],[1,4,26],[1,5,33],[2,3,58],[3,4,91],[3,5,69],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=10 Succeeded, w=10\",\"Add (1,2)=15 Succeeded, w=25\",\"Add (1,4)=26 Succeeded, w=51\",\"Add (4,5)=26 Succeeded, w=77\",\"Add (0,1)=28 Failed, w=77\",\"Add (0,2)=30 Failed, w=77\",\"Add (0,3)=33 Succeeded, w=110\",\"Add (1,5)=33 Failed, w=110\",\"Add (2,3)=58 Failed, w=110\",\"Add (3,5)=69 Failed, w=110\",\"Add (0,5)=77 Failed, w=110\",\"Add (3,4)=91 Failed, w=110\",\"Add (1,3)=94 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,28],[0,2,30],[0,3,33],[0,4,10],[0,5,77],[1,2,15],[1,3,94],[1,4,26],[1,5,33],[2,3,58],[3,4,91],[3,5,69],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=10,(1,2)=15,(1,4)=26,(4,5)=26,(0,1)=28,(0,2)=30,(0,3)=33,(1,5)=33,(2,3)=58,(3,5)=69,(0,5)=77,(3,4)=91,(1,3)=94]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=10 Succeeded, w=10\",\"Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=25\",\"Find(1)=1, Find(4)=0, Add (1,4)=26 Succeeded, w=51\",\"Find(4)=1, Find(5)=5, Add (4,5)=26 Succeeded, w=77\",\"Find(0)=1, Find(1)=1, Add (0,1)=28 Failed, w=77\",\"Find(0)=1, Find(2)=1, Add (0,2)=30 Failed, w=77\",\"Find(0)=1, Find(3)=3, Add (0,3)=33 Succeeded, w=110\",\"Find(1)=1, Find(5)=1, Add (1,5)=33 Failed, w=110\",\"Find(2)=1, Find(3)=1, Add (2,3)=58 Failed, w=110\",\"Find(3)=1, Find(5)=1, Add (3,5)=69 Failed, w=110\",\"Find(0)=1, Find(5)=1, Add (0,5)=77 Failed, w=110\",\"Find(3)=1, Find(4)=1, Add (3,4)=91 Failed, w=110\",\"Find(1)=1, Find(3)=1, Add (1,3)=94 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,28],[0,2,30],[0,3,33],[0,4,10],[0,5,77],[1,2,15],[1,3,94],[1,4,26],[1,5,33],[2,3,58],[3,4,91],[3,5,69],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=10,(1,2)=15,(1,4)=26,(4,5)=26,(0,1)=28,(0,2)=30,(0,3)=33,(1,5)=33,(2,3)=58,(3,5)=69,(0,5)=77,(3,4)=91,(1,3)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=25\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 0, 5: 5}, Find(1)=1, Find(4)=0, Add (1,4)=26 Succeeded, w=51\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1}, Find(4)=1, Find(5)=5, Add (4,5)=26 Succeeded, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=28 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=30 Failed, w=77\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=3, Add (0,3)=33 Succeeded, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=33 Failed, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=58 Failed, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=69 Failed, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=77 Failed, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=91 Failed, w=110\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=1, Add (1,3)=94 Failed, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,3,42],[0,4,1],[1,3,83],[1,4,39],[1,5,46],[2,3,86],[2,4,97],[2,5,83],[3,5,81],[4,5,47]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,42],[0,4,1],[1,3,83],[1,4,39],[1,5,46],[2,3,86],[2,4,97],[2,5,83],[3,5,81],[4,5,47]]}",
"role": "user"
},
{
"content": "{\"Answer\":211}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,42],[0,4,1],[1,3,83],[1,4,39],[1,5,46],[2,3,86],[2,4,97],[2,5,83],[3,5,81],[4,5,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,4)\",\"Add (0,3)\",\"Add (1,5)\",\"Add (2,5)\"],\"Answer\":211}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,42],[0,4,1],[1,3,83],[1,4,39],[1,5,46],[2,3,86],[2,4,97],[2,5,83],[3,5,81],[4,5,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=1, w=1\",\"Add (1,4)=39, w=40\",\"Add (0,3)=42, w=82\",\"Add (1,5)=46, w=128\",\"Add (2,5)=83, w=211\"],\"Answer\":211}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,42],[0,4,1],[1,3,83],[1,4,39],[1,5,46],[2,3,86],[2,4,97],[2,5,83],[3,5,81],[4,5,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=1 Succeeded, w=1\",\"Add (1,4)=39 Succeeded, w=40\",\"Add (0,3)=42 Succeeded, w=82\",\"Add (1,5)=46 Succeeded, w=128\",\"Add (4,5)=47 Failed, w=128\",\"Add (3,5)=81 Failed, w=128\",\"Add (1,3)=83 Failed, w=128\",\"Add (2,5)=83 Succeeded, w=211\",\"Add (2,3)=86 Failed, w=211\",\"Add (2,4)=97 Failed, w=211\"],\"Answer\":211}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,42],[0,4,1],[1,3,83],[1,4,39],[1,5,46],[2,3,86],[2,4,97],[2,5,83],[3,5,81],[4,5,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=1,(1,4)=39,(0,3)=42,(1,5)=46,(4,5)=47,(3,5)=81,(1,3)=83,(2,5)=83,(2,3)=86,(2,4)=97]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Find(1)=1, Find(4)=0, Add (1,4)=39 Succeeded, w=40\",\"Find(0)=0, Find(3)=3, Add (0,3)=42 Succeeded, w=82\",\"Find(1)=0, Find(5)=5, Add (1,5)=46 Succeeded, w=128\",\"Find(4)=0, Find(5)=0, Add (4,5)=47 Failed, w=128\",\"Find(3)=0, Find(5)=0, Add (3,5)=81 Failed, w=128\",\"Find(1)=0, Find(3)=0, Add (1,3)=83 Failed, w=128\",\"Find(2)=2, Find(5)=0, Add (2,5)=83 Succeeded, w=211\",\"Find(2)=0, Find(3)=0, Add (2,3)=86 Failed, w=211\",\"Find(2)=0, Find(4)=0, Add (2,4)=97 Failed, w=211\"],\"Answer\":211}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,42],[0,4,1],[1,3,83],[1,4,39],[1,5,46],[2,3,86],[2,4,97],[2,5,83],[3,5,81],[4,5,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=1,(1,4)=39,(0,3)=42,(1,5)=46,(4,5)=47,(3,5)=81,(1,3)=83,(2,5)=83,(2,3)=86,(2,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5}, Find(1)=1, Find(4)=0, Add (1,4)=39 Succeeded, w=40\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=42 Succeeded, w=82\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=5, Add (1,5)=46 Succeeded, w=128\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=47 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=81 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=83 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=2, Find(5)=0, Add (2,5)=83 Succeeded, w=211\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=86 Failed, w=211\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=97 Failed, w=211\"],\"Answer\":211}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,34],[0,2,51],[0,3,0],[0,4,88],[0,5,91],[0,6,24],[1,2,22],[1,3,16],[1,4,16],[1,5,100],[1,6,26],[2,3,98],[2,4,91],[2,5,88],[2,6,61],[3,4,82],[3,5,6],[3,6,57],[4,5,2],[4,6,56],[5,6,98]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,34],[0,2,51],[0,3,0],[0,4,88],[0,5,91],[0,6,24],[1,2,22],[1,3,16],[1,4,16],[1,5,100],[1,6,26],[2,3,98],[2,4,91],[2,5,88],[2,6,61],[3,4,82],[3,5,6],[3,6,57],[4,5,2],[4,6,56],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,34],[0,2,51],[0,3,0],[0,4,88],[0,5,91],[0,6,24],[1,2,22],[1,3,16],[1,4,16],[1,5,100],[1,6,26],[2,3,98],[2,4,91],[2,5,88],[2,6,61],[3,4,82],[3,5,6],[3,6,57],[4,5,2],[4,6,56],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (4,5)\",\"Add (3,5)\",\"Add (1,3)\",\"Add (1,2)\",\"Add (0,6)\"],\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,34],[0,2,51],[0,3,0],[0,4,88],[0,5,91],[0,6,24],[1,2,22],[1,3,16],[1,4,16],[1,5,100],[1,6,26],[2,3,98],[2,4,91],[2,5,88],[2,6,61],[3,4,82],[3,5,6],[3,6,57],[4,5,2],[4,6,56],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0, w=0\",\"Add (4,5)=2, w=2\",\"Add (3,5)=6, w=8\",\"Add (1,3)=16, w=24\",\"Add (1,2)=22, w=46\",\"Add (0,6)=24, w=70\"],\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,34],[0,2,51],[0,3,0],[0,4,88],[0,5,91],[0,6,24],[1,2,22],[1,3,16],[1,4,16],[1,5,100],[1,6,26],[2,3,98],[2,4,91],[2,5,88],[2,6,61],[3,4,82],[3,5,6],[3,6,57],[4,5,2],[4,6,56],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=0 Succeeded, w=0\",\"Add (4,5)=2 Succeeded, w=2\",\"Add (3,5)=6 Succeeded, w=8\",\"Add (1,3)=16 Succeeded, w=24\",\"Add (1,4)=16 Failed, w=24\",\"Add (1,2)=22 Succeeded, w=46\",\"Add (0,6)=24 Succeeded, w=70\",\"Add (1,6)=26 Failed, w=70\",\"Add (0,1)=34 Failed, w=70\",\"Add (0,2)=51 Failed, w=70\",\"Add (4,6)=56 Failed, w=70\",\"Add (3,6)=57 Failed, w=70\",\"Add (2,6)=61 Failed, w=70\",\"Add (3,4)=82 Failed, w=70\",\"Add (0,4)=88 Failed, w=70\",\"Add (2,5)=88 Failed, w=70\",\"Add (0,5)=91 Failed, w=70\",\"Add (2,4)=91 Failed, w=70\",\"Add (2,3)=98 Failed, w=70\",\"Add (5,6)=98 Failed, w=70\",\"Add (1,5)=100 Failed, w=70\"],\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,34],[0,2,51],[0,3,0],[0,4,88],[0,5,91],[0,6,24],[1,2,22],[1,3,16],[1,4,16],[1,5,100],[1,6,26],[2,3,98],[2,4,91],[2,5,88],[2,6,61],[3,4,82],[3,5,6],[3,6,57],[4,5,2],[4,6,56],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(4,5)=2,(3,5)=6,(1,3)=16,(1,4)=16,(1,2)=22,(0,6)=24,(1,6)=26,(0,1)=34,(0,2)=51,(4,6)=56,(3,6)=57,(2,6)=61,(3,4)=82,(0,4)=88,(2,5)=88,(0,5)=91,(2,4)=91,(2,3)=98,(5,6)=98,(1,5)=100]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Find(4)=4, Find(5)=5, Add (4,5)=2 Succeeded, w=2\",\"Find(3)=0, Find(5)=4, Add (3,5)=6 Succeeded, w=8\",\"Find(1)=1, Find(3)=0, Add (1,3)=16 Succeeded, w=24\",\"Find(1)=0, Find(4)=0, Add (1,4)=16 Failed, w=24\",\"Find(1)=0, Find(2)=2, Add (1,2)=22 Succeeded, w=46\",\"Find(0)=0, Find(6)=6, Add (0,6)=24 Succeeded, w=70\",\"Find(1)=0, Find(6)=0, Add (1,6)=26 Failed, w=70\",\"Find(0)=0, Find(1)=0, Add (0,1)=34 Failed, w=70\",\"Find(0)=0, Find(2)=0, Add (0,2)=51 Failed, w=70\",\"Find(4)=0, Find(6)=0, Add (4,6)=56 Failed, w=70\",\"Find(3)=0, Find(6)=0, Add (3,6)=57 Failed, w=70\",\"Find(2)=0, Find(6)=0, Add (2,6)=61 Failed, w=70\",\"Find(3)=0, Find(4)=0, Add (3,4)=82 Failed, w=70\",\"Find(0)=0, Find(4)=0, Add (0,4)=88 Failed, w=70\",\"Find(2)=0, Find(5)=0, Add (2,5)=88 Failed, w=70\",\"Find(0)=0, Find(5)=0, Add (0,5)=91 Failed, w=70\",\"Find(2)=0, Find(4)=0, Add (2,4)=91 Failed, w=70\",\"Find(2)=0, Find(3)=0, Add (2,3)=98 Failed, w=70\",\"Find(5)=0, Find(6)=0, Add (5,6)=98 Failed, w=70\",\"Find(1)=0, Find(5)=0, Add (1,5)=100 Failed, w=70\"],\"Answer\":70}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,34],[0,2,51],[0,3,0],[0,4,88],[0,5,91],[0,6,24],[1,2,22],[1,3,16],[1,4,16],[1,5,100],[1,6,26],[2,3,98],[2,4,91],[2,5,88],[2,6,61],[3,4,82],[3,5,6],[3,6,57],[4,5,2],[4,6,56],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=0,(4,5)=2,(3,5)=6,(1,3)=16,(1,4)=16,(1,2)=22,(0,6)=24,(1,6)=26,(0,1)=34,(0,2)=51,(4,6)=56,(3,6)=57,(2,6)=61,(3,4)=82,(0,4)=88,(2,5)=88,(0,5)=91,(2,4)=91,(2,3)=98,(5,6)=98,(1,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 4, 6: 6}, Find(4)=4, Find(5)=5, Add (4,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 4, 6: 6}, Find(3)=0, Find(5)=4, Add (3,5)=6 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 4, 6: 6}, Find(1)=1, Find(3)=0, Add (1,3)=16 Succeeded, w=24\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 4, 6: 6}, Find(1)=0, Find(4)=0, Add (1,4)=16 Failed, w=24\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 6}, Find(1)=0, Find(2)=2, Add (1,2)=22 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=24 Succeeded, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=26 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=34 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=51 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=56 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=57 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=61 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=82 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 4, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=88 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=88 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=91 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=91 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=98 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=98 Failed, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=100 Failed, w=70\"],\"Answer\":70}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,9],[0,4,46],[0,5,90],[0,6,64],[1,2,14],[1,3,13],[1,4,92],[2,3,26],[2,5,3],[3,5,24],[3,6,45],[4,5,87],[4,6,37]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,4,46],[0,5,90],[0,6,64],[1,2,14],[1,3,13],[1,4,92],[2,3,26],[2,5,3],[3,5,24],[3,6,45],[4,5,87],[4,6,37]]}",
"role": "user"
},
{
"content": "{\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,4,46],[0,5,90],[0,6,64],[1,2,14],[1,3,13],[1,4,92],[2,3,26],[2,5,3],[3,5,24],[3,6,45],[4,5,87],[4,6,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (0,1)\",\"Add (1,3)\",\"Add (1,2)\",\"Add (4,6)\",\"Add (3,6)\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,4,46],[0,5,90],[0,6,64],[1,2,14],[1,3,13],[1,4,92],[2,3,26],[2,5,3],[3,5,24],[3,6,45],[4,5,87],[4,6,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=3, w=3\",\"Add (0,1)=9, w=12\",\"Add (1,3)=13, w=25\",\"Add (1,2)=14, w=39\",\"Add (4,6)=37, w=76\",\"Add (3,6)=45, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,4,46],[0,5,90],[0,6,64],[1,2,14],[1,3,13],[1,4,92],[2,3,26],[2,5,3],[3,5,24],[3,6,45],[4,5,87],[4,6,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=3 Succeeded, w=3\",\"Add (0,1)=9 Succeeded, w=12\",\"Add (1,3)=13 Succeeded, w=25\",\"Add (1,2)=14 Succeeded, w=39\",\"Add (3,5)=24 Failed, w=39\",\"Add (2,3)=26 Failed, w=39\",\"Add (4,6)=37 Succeeded, w=76\",\"Add (3,6)=45 Succeeded, w=121\",\"Add (0,4)=46 Failed, w=121\",\"Add (0,6)=64 Failed, w=121\",\"Add (4,5)=87 Failed, w=121\",\"Add (0,5)=90 Failed, w=121\",\"Add (1,4)=92 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,4,46],[0,5,90],[0,6,64],[1,2,14],[1,3,13],[1,4,92],[2,3,26],[2,5,3],[3,5,24],[3,6,45],[4,5,87],[4,6,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=3,(0,1)=9,(1,3)=13,(1,2)=14,(3,5)=24,(2,3)=26,(4,6)=37,(3,6)=45,(0,4)=46,(0,6)=64,(4,5)=87,(0,5)=90,(1,4)=92]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=3 Succeeded, w=3\",\"Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=12\",\"Find(1)=0, Find(3)=3, Add (1,3)=13 Succeeded, w=25\",\"Find(1)=0, Find(2)=2, Add (1,2)=14 Succeeded, w=39\",\"Find(3)=0, Find(5)=0, Add (3,5)=24 Failed, w=39\",\"Find(2)=0, Find(3)=0, Add (2,3)=26 Failed, w=39\",\"Find(4)=4, Find(6)=6, Add (4,6)=37 Succeeded, w=76\",\"Find(3)=0, Find(6)=4, Add (3,6)=45 Succeeded, w=121\",\"Find(0)=0, Find(4)=0, Add (0,4)=46 Failed, w=121\",\"Find(0)=0, Find(6)=0, Add (0,6)=64 Failed, w=121\",\"Find(4)=0, Find(5)=0, Add (4,5)=87 Failed, w=121\",\"Find(0)=0, Find(5)=0, Add (0,5)=90 Failed, w=121\",\"Find(1)=0, Find(4)=0, Add (1,4)=92 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,9],[0,4,46],[0,5,90],[0,6,64],[1,2,14],[1,3,13],[1,4,92],[2,3,26],[2,5,3],[3,5,24],[3,6,45],[4,5,87],[4,6,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=3,(0,1)=9,(1,3)=13,(1,2)=14,(3,5)=24,(2,3)=26,(4,6)=37,(3,6)=45,(0,4)=46,(0,6)=64,(4,5)=87,(0,5)=90,(1,4)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 2, 6: 6}, Find(1)=0, Find(3)=3, Add (1,3)=13 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 2, 6: 6}, Find(1)=0, Find(2)=2, Add (1,2)=14 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 6}, Find(3)=0, Find(5)=0, Add (3,5)=24 Failed, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 6}, Find(2)=0, Find(3)=0, Add (2,3)=26 Failed, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=37 Succeeded, w=76\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4}, Find(3)=0, Find(6)=4, Add (3,6)=45 Succeeded, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 4}, Find(0)=0, Find(4)=0, Add (0,4)=46 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=64 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=87 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=90 Failed, w=121\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=92 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,19],[0,3,9],[1,2,2],[1,3,25],[2,3,66]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,19],[0,3,9],[1,2,2],[1,3,25],[2,3,66]]}",
"role": "user"
},
{
"content": "{\"Answer\":30}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,19],[0,3,9],[1,2,2],[1,3,25],[2,3,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (0,1)\"],\"Answer\":30}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,19],[0,3,9],[1,2,2],[1,3,25],[2,3,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=2, w=2\",\"Add (0,3)=9, w=11\",\"Add (0,1)=19, w=30\"],\"Answer\":30}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,19],[0,3,9],[1,2,2],[1,3,25],[2,3,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=2 Succeeded, w=2\",\"Add (0,3)=9 Succeeded, w=11\",\"Add (0,1)=19 Succeeded, w=30\",\"Add (1,3)=25 Failed, w=30\",\"Add (2,3)=66 Failed, w=30\"],\"Answer\":30}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,19],[0,3,9],[1,2,2],[1,3,25],[2,3,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=2,(0,3)=9,(0,1)=19,(1,3)=25,(2,3)=66]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=2 Succeeded, w=2\",\"Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=11\",\"Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=30\",\"Find(1)=0, Find(3)=0, Add (1,3)=25 Failed, w=30\",\"Find(2)=0, Find(3)=0, Add (2,3)=66 Failed, w=30\"],\"Answer\":30}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,19],[0,3,9],[1,2,2],[1,3,25],[2,3,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=2,(0,3)=9,(0,1)=19,(1,3)=25,(2,3)=66]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=9 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=30\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=25 Failed, w=30\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=66 Failed, w=30\"],\"Answer\":30}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,3,42],[2,4,88],[2,5,63]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,42],[2,4,88],[2,5,63]]}",
"role": "user"
},
{
"content": "{\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,42],[2,4,88],[2,5,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,5)\",\"Add (2,4)\"],\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,42],[2,4,88],[2,5,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=42, w=42\",\"Add (2,5)=63, w=105\",\"Add (2,4)=88, w=193\"],\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,42],[2,4,88],[2,5,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=42 Succeeded, w=42\",\"Add (2,5)=63 Succeeded, w=105\",\"Add (2,4)=88 Succeeded, w=193\"],\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,42],[2,4,88],[2,5,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=42,(2,5)=63,(2,4)=88]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=42 Succeeded, w=42\",\"Find(2)=2, Find(5)=5, Add (2,5)=63 Succeeded, w=105\",\"Find(2)=2, Find(4)=4, Add (2,4)=88 Succeeded, w=193\"],\"Answer\":193}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,42],[2,4,88],[2,5,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=42,(2,5)=63,(2,4)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=42 Succeeded, w=42\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=63 Succeeded, w=105\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 2}, Find(2)=2, Find(4)=4, Add (2,4)=88 Succeeded, w=193\"],\"Answer\":193}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,23],[0,2,37],[0,3,48],[0,4,72],[1,2,3],[1,3,23],[1,4,84],[2,3,67],[2,4,99]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,23],[0,2,37],[0,3,48],[0,4,72],[1,2,3],[1,3,23],[1,4,84],[2,3,67],[2,4,99]]}",
"role": "user"
},
{
"content": "{\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,23],[0,2,37],[0,3,48],[0,4,72],[1,2,3],[1,3,23],[1,4,84],[2,3,67],[2,4,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,1)\",\"Add (1,3)\",\"Add (0,4)\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,23],[0,2,37],[0,3,48],[0,4,72],[1,2,3],[1,3,23],[1,4,84],[2,3,67],[2,4,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3, w=3\",\"Add (0,1)=23, w=26\",\"Add (1,3)=23, w=49\",\"Add (0,4)=72, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,23],[0,2,37],[0,3,48],[0,4,72],[1,2,3],[1,3,23],[1,4,84],[2,3,67],[2,4,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=3 Succeeded, w=3\",\"Add (0,1)=23 Succeeded, w=26\",\"Add (1,3)=23 Succeeded, w=49\",\"Add (0,2)=37 Failed, w=49\",\"Add (0,3)=48 Failed, w=49\",\"Add (2,3)=67 Failed, w=49\",\"Add (0,4)=72 Succeeded, w=121\",\"Add (1,4)=84 Failed, w=121\",\"Add (2,4)=99 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,23],[0,2,37],[0,3,48],[0,4,72],[1,2,3],[1,3,23],[1,4,84],[2,3,67],[2,4,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(0,1)=23,(1,3)=23,(0,2)=37,(0,3)=48,(2,3)=67,(0,4)=72,(1,4)=84,(2,4)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Find(0)=0, Find(1)=1, Add (0,1)=23 Succeeded, w=26\",\"Find(1)=1, Find(3)=3, Add (1,3)=23 Succeeded, w=49\",\"Find(0)=1, Find(2)=1, Add (0,2)=37 Failed, w=49\",\"Find(0)=1, Find(3)=1, Add (0,3)=48 Failed, w=49\",\"Find(2)=1, Find(3)=1, Add (2,3)=67 Failed, w=49\",\"Find(0)=1, Find(4)=4, Add (0,4)=72 Succeeded, w=121\",\"Find(1)=1, Find(4)=1, Add (1,4)=84 Failed, w=121\",\"Find(2)=1, Find(4)=1, Add (2,4)=99 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,23],[0,2,37],[0,3,48],[0,4,72],[1,2,3],[1,3,23],[1,4,84],[2,3,67],[2,4,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=3,(0,1)=23,(1,3)=23,(0,2)=37,(0,3)=48,(2,3)=67,(0,4)=72,(1,4)=84,(2,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=3 Succeeded, w=3\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=23 Succeeded, w=26\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=23 Succeeded, w=49\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(0)=1, Find(2)=1, Add (0,2)=37 Failed, w=49\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(0)=1, Find(3)=1, Add (0,3)=48 Failed, w=49\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(2)=1, Find(3)=1, Add (2,3)=67 Failed, w=49\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=4, Add (0,4)=72 Succeeded, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=84 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=99 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,3],[0,3,96],[1,2,31],[1,5,26],[2,3,13],[2,5,66],[3,4,41],[3,5,11],[4,5,78]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,3],[0,3,96],[1,2,31],[1,5,26],[2,3,13],[2,5,66],[3,4,41],[3,5,11],[4,5,78]]}",
"role": "user"
},
{
"content": "{\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,3],[0,3,96],[1,2,31],[1,5,26],[2,3,13],[2,5,66],[3,4,41],[3,5,11],[4,5,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (3,5)\",\"Add (2,3)\",\"Add (1,5)\",\"Add (3,4)\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,3],[0,3,96],[1,2,31],[1,5,26],[2,3,13],[2,5,66],[3,4,41],[3,5,11],[4,5,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3, w=3\",\"Add (3,5)=11, w=14\",\"Add (2,3)=13, w=27\",\"Add (1,5)=26, w=53\",\"Add (3,4)=41, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,3],[0,3,96],[1,2,31],[1,5,26],[2,3,13],[2,5,66],[3,4,41],[3,5,11],[4,5,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3 Succeeded, w=3\",\"Add (3,5)=11 Succeeded, w=14\",\"Add (2,3)=13 Succeeded, w=27\",\"Add (1,5)=26 Succeeded, w=53\",\"Add (1,2)=31 Failed, w=53\",\"Add (3,4)=41 Succeeded, w=94\",\"Add (2,5)=66 Failed, w=94\",\"Add (4,5)=78 Failed, w=94\",\"Add (0,3)=96 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,3],[0,3,96],[1,2,31],[1,5,26],[2,3,13],[2,5,66],[3,4,41],[3,5,11],[4,5,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(3,5)=11,(2,3)=13,(1,5)=26,(1,2)=31,(3,4)=41,(2,5)=66,(4,5)=78,(0,3)=96]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Find(3)=3, Find(5)=5, Add (3,5)=11 Succeeded, w=14\",\"Find(2)=0, Find(3)=3, Add (2,3)=13 Succeeded, w=27\",\"Find(1)=1, Find(5)=0, Add (1,5)=26 Succeeded, w=53\",\"Find(1)=0, Find(2)=0, Add (1,2)=31 Failed, w=53\",\"Find(3)=0, Find(4)=4, Add (3,4)=41 Succeeded, w=94\",\"Find(2)=0, Find(5)=0, Add (2,5)=66 Failed, w=94\",\"Find(4)=0, Find(5)=0, Add (4,5)=78 Failed, w=94\",\"Find(0)=0, Find(3)=0, Add (0,3)=96 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,3],[0,3,96],[1,2,31],[1,5,26],[2,3,13],[2,5,66],[3,4,41],[3,5,11],[4,5,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(3,5)=11,(2,3)=13,(1,5)=26,(1,2)=31,(3,4)=41,(2,5)=66,(4,5)=78,(0,3)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=11 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 3}, Find(2)=0, Find(3)=3, Add (2,3)=13 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(1)=1, Find(5)=0, Add (1,5)=26 Succeeded, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=31 Failed, w=53\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=4, Add (3,4)=41 Succeeded, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=66 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=78 Failed, w=94\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=96 Failed, w=94\"],\"Answer\":94}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,78],[0,3,9],[0,4,100],[1,3,3],[1,4,56],[2,3,100],[2,4,28],[3,4,53]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,78],[0,3,9],[0,4,100],[1,3,3],[1,4,56],[2,3,100],[2,4,28],[3,4,53]]}",
"role": "user"
},
{
"content": "{\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,78],[0,3,9],[0,4,100],[1,3,3],[1,4,56],[2,3,100],[2,4,28],[3,4,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,3)\",\"Add (2,4)\",\"Add (3,4)\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,78],[0,3,9],[0,4,100],[1,3,3],[1,4,56],[2,3,100],[2,4,28],[3,4,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=3, w=3\",\"Add (0,3)=9, w=12\",\"Add (2,4)=28, w=40\",\"Add (3,4)=53, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,78],[0,3,9],[0,4,100],[1,3,3],[1,4,56],[2,3,100],[2,4,28],[3,4,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=3 Succeeded, w=3\",\"Add (0,3)=9 Succeeded, w=12\",\"Add (2,4)=28 Succeeded, w=40\",\"Add (3,4)=53 Succeeded, w=93\",\"Add (1,4)=56 Failed, w=93\",\"Add (0,2)=78 Failed, w=93\",\"Add (0,4)=100 Failed, w=93\",\"Add (2,3)=100 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,78],[0,3,9],[0,4,100],[1,3,3],[1,4,56],[2,3,100],[2,4,28],[3,4,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=3,(0,3)=9,(2,4)=28,(3,4)=53,(1,4)=56,(0,2)=78,(0,4)=100,(2,3)=100]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=3\",\"Find(0)=0, Find(3)=1, Add (0,3)=9 Succeeded, w=12\",\"Find(2)=2, Find(4)=4, Add (2,4)=28 Succeeded, w=40\",\"Find(3)=1, Find(4)=2, Add (3,4)=53 Succeeded, w=93\",\"Find(1)=1, Find(4)=1, Add (1,4)=56 Failed, w=93\",\"Find(0)=1, Find(2)=1, Add (0,2)=78 Failed, w=93\",\"Find(0)=1, Find(4)=1, Add (0,4)=100 Failed, w=93\",\"Find(2)=1, Find(3)=1, Add (2,3)=100 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,78],[0,3,9],[0,4,100],[1,3,3],[1,4,56],[2,3,100],[2,4,28],[3,4,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=3,(0,3)=9,(2,4)=28,(3,4)=53,(1,4)=56,(0,2)=78,(0,4)=100,(2,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=3\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4}, Find(0)=0, Find(3)=1, Add (0,3)=9 Succeeded, w=12\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=28 Succeeded, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2}, Find(3)=1, Find(4)=2, Add (3,4)=53 Succeeded, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=1, Add (1,4)=56 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=78 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=100 Failed, w=93\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(3)=1, Add (2,3)=100 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[1,4,52],[1,5,95],[2,4,49],[2,5,98],[3,5,91]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[1,4,52],[1,5,95],[2,4,49],[2,5,98],[3,5,91]]}",
"role": "user"
},
{
"content": "{\"Answer\":287}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[1,4,52],[1,5,95],[2,4,49],[2,5,98],[3,5,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,4)\",\"Add (3,5)\",\"Add (1,5)\"],\"Answer\":287}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[1,4,52],[1,5,95],[2,4,49],[2,5,98],[3,5,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=49, w=49\",\"Add (1,4)=52, w=101\",\"Add (3,5)=91, w=192\",\"Add (1,5)=95, w=287\"],\"Answer\":287}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[1,4,52],[1,5,95],[2,4,49],[2,5,98],[3,5,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=49 Succeeded, w=49\",\"Add (1,4)=52 Succeeded, w=101\",\"Add (3,5)=91 Succeeded, w=192\",\"Add (1,5)=95 Succeeded, w=287\",\"Add (2,5)=98 Failed, w=287\"],\"Answer\":287}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[1,4,52],[1,5,95],[2,4,49],[2,5,98],[3,5,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=49,(1,4)=52,(3,5)=91,(1,5)=95,(2,5)=98]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=49 Succeeded, w=49\",\"Find(1)=1, Find(4)=2, Add (1,4)=52 Succeeded, w=101\",\"Find(3)=3, Find(5)=5, Add (3,5)=91 Succeeded, w=192\",\"Find(1)=2, Find(5)=3, Add (1,5)=95 Succeeded, w=287\",\"Find(2)=2, Find(5)=2, Add (2,5)=98 Failed, w=287\"],\"Answer\":287}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[1,4,52],[1,5,95],[2,4,49],[2,5,98],[3,5,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=49,(1,4)=52,(3,5)=91,(1,5)=95,(2,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=49 Succeeded, w=49\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 5}, Find(1)=1, Find(4)=2, Add (1,4)=52 Succeeded, w=101\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=91 Succeeded, w=192\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 3}, Find(1)=2, Find(5)=3, Add (1,5)=95 Succeeded, w=287\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=98 Failed, w=287\"],\"Answer\":287}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,6],[0,2,74],[0,3,2],[0,4,10],[1,2,88],[1,4,70],[1,5,35],[2,3,65],[2,4,47],[3,4,7],[4,5,51]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,2,74],[0,3,2],[0,4,10],[1,2,88],[1,4,70],[1,5,35],[2,3,65],[2,4,47],[3,4,7],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,2,74],[0,3,2],[0,4,10],[1,2,88],[1,4,70],[1,5,35],[2,3,65],[2,4,47],[3,4,7],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (3,4)\",\"Add (1,5)\",\"Add (2,4)\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,2,74],[0,3,2],[0,4,10],[1,2,88],[1,4,70],[1,5,35],[2,3,65],[2,4,47],[3,4,7],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2, w=2\",\"Add (0,1)=6, w=8\",\"Add (3,4)=7, w=15\",\"Add (1,5)=35, w=50\",\"Add (2,4)=47, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,2,74],[0,3,2],[0,4,10],[1,2,88],[1,4,70],[1,5,35],[2,3,65],[2,4,47],[3,4,7],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2 Succeeded, w=2\",\"Add (0,1)=6 Succeeded, w=8\",\"Add (3,4)=7 Succeeded, w=15\",\"Add (0,4)=10 Failed, w=15\",\"Add (1,5)=35 Succeeded, w=50\",\"Add (2,4)=47 Succeeded, w=97\",\"Add (4,5)=51 Failed, w=97\",\"Add (2,3)=65 Failed, w=97\",\"Add (1,4)=70 Failed, w=97\",\"Add (0,2)=74 Failed, w=97\",\"Add (1,2)=88 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,2,74],[0,3,2],[0,4,10],[1,2,88],[1,4,70],[1,5,35],[2,3,65],[2,4,47],[3,4,7],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(0,1)=6,(3,4)=7,(0,4)=10,(1,5)=35,(2,4)=47,(4,5)=51,(2,3)=65,(1,4)=70,(0,2)=74,(1,2)=88]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=8\",\"Find(3)=0, Find(4)=4, Add (3,4)=7 Succeeded, w=15\",\"Find(0)=0, Find(4)=0, Add (0,4)=10 Failed, w=15\",\"Find(1)=0, Find(5)=5, Add (1,5)=35 Succeeded, w=50\",\"Find(2)=2, Find(4)=0, Add (2,4)=47 Succeeded, w=97\",\"Find(4)=0, Find(5)=0, Add (4,5)=51 Failed, w=97\",\"Find(2)=0, Find(3)=0, Add (2,3)=65 Failed, w=97\",\"Find(1)=0, Find(4)=0, Add (1,4)=70 Failed, w=97\",\"Find(0)=0, Find(2)=0, Add (0,2)=74 Failed, w=97\",\"Find(1)=0, Find(2)=0, Add (1,2)=88 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,6],[0,2,74],[0,3,2],[0,4,10],[1,2,88],[1,4,70],[1,5,35],[2,3,65],[2,4,47],[3,4,7],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(0,1)=6,(3,4)=7,(0,4)=10,(1,5)=35,(2,4)=47,(4,5)=51,(2,3)=65,(1,4)=70,(0,2)=74,(1,2)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5}, Find(3)=0, Find(4)=4, Add (3,4)=7 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5}, Find(0)=0, Find(4)=0, Add (0,4)=10 Failed, w=15\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=5, Add (1,5)=35 Succeeded, w=50\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=2, Find(4)=0, Add (2,4)=47 Succeeded, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=51 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=65 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=70 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=74 Failed, w=97\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=88 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,10],[0,2,39],[0,4,58],[1,2,64],[1,3,7],[2,4,18],[3,4,22]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,10],[0,2,39],[0,4,58],[1,2,64],[1,3,7],[2,4,18],[3,4,22]]}",
"role": "user"
},
{
"content": "{\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,10],[0,2,39],[0,4,58],[1,2,64],[1,3,7],[2,4,18],[3,4,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,1)\",\"Add (2,4)\",\"Add (3,4)\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,10],[0,2,39],[0,4,58],[1,2,64],[1,3,7],[2,4,18],[3,4,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=7, w=7\",\"Add (0,1)=10, w=17\",\"Add (2,4)=18, w=35\",\"Add (3,4)=22, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,10],[0,2,39],[0,4,58],[1,2,64],[1,3,7],[2,4,18],[3,4,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=7 Succeeded, w=7\",\"Add (0,1)=10 Succeeded, w=17\",\"Add (2,4)=18 Succeeded, w=35\",\"Add (3,4)=22 Succeeded, w=57\",\"Add (0,2)=39 Failed, w=57\",\"Add (0,4)=58 Failed, w=57\",\"Add (1,2)=64 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,10],[0,2,39],[0,4,58],[1,2,64],[1,3,7],[2,4,18],[3,4,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=7,(0,1)=10,(2,4)=18,(3,4)=22,(0,2)=39,(0,4)=58,(1,2)=64]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=7\",\"Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=17\",\"Find(2)=2, Find(4)=4, Add (2,4)=18 Succeeded, w=35\",\"Find(3)=1, Find(4)=2, Add (3,4)=22 Succeeded, w=57\",\"Find(0)=1, Find(2)=1, Add (0,2)=39 Failed, w=57\",\"Find(0)=1, Find(4)=1, Add (0,4)=58 Failed, w=57\",\"Find(1)=1, Find(2)=1, Add (1,2)=64 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,10],[0,2,39],[0,4,58],[1,2,64],[1,3,7],[2,4,18],[3,4,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=7,(0,1)=10,(2,4)=18,(3,4)=22,(0,2)=39,(0,4)=58,(1,2)=64]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=7\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=17\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=18 Succeeded, w=35\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2}, Find(3)=1, Find(4)=2, Add (3,4)=22 Succeeded, w=57\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2}, Find(0)=1, Find(2)=1, Add (0,2)=39 Failed, w=57\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=58 Failed, w=57\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=64 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,10],[1,2,61],[1,3,41]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,10],[1,2,61],[1,3,41]]}",
"role": "user"
},
{
"content": "{\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,10],[1,2,61],[1,3,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\",\"Add (1,2)\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,10],[1,2,61],[1,3,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=10, w=10\",\"Add (1,3)=41, w=51\",\"Add (1,2)=61, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,10],[1,2,61],[1,3,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=10 Succeeded, w=10\",\"Add (1,3)=41 Succeeded, w=51\",\"Add (1,2)=61 Succeeded, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,10],[1,2,61],[1,3,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=10,(1,3)=41,(1,2)=61]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=10\",\"Find(1)=0, Find(3)=3, Add (1,3)=41 Succeeded, w=51\",\"Find(1)=0, Find(2)=2, Add (1,2)=61 Succeeded, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,10],[1,2,61],[1,3,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=10,(1,3)=41,(1,2)=61]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=41 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=2, Add (1,2)=61 Succeeded, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,98],[0,2,42],[0,3,27],[0,4,41],[0,5,81],[0,6,78],[1,2,65],[1,3,50],[1,4,65],[1,5,41],[1,6,68],[2,3,8],[2,4,67],[2,5,36],[2,6,51],[3,4,49],[3,5,99],[3,6,30],[4,5,76],[4,6,44],[5,6,47]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,98],[0,2,42],[0,3,27],[0,4,41],[0,5,81],[0,6,78],[1,2,65],[1,3,50],[1,4,65],[1,5,41],[1,6,68],[2,3,8],[2,4,67],[2,5,36],[2,6,51],[3,4,49],[3,5,99],[3,6,30],[4,5,76],[4,6,44],[5,6,47]]}",
"role": "user"
},
{
"content": "{\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,98],[0,2,42],[0,3,27],[0,4,41],[0,5,81],[0,6,78],[1,2,65],[1,3,50],[1,4,65],[1,5,41],[1,6,68],[2,3,8],[2,4,67],[2,5,36],[2,6,51],[3,4,49],[3,5,99],[3,6,30],[4,5,76],[4,6,44],[5,6,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,3)\",\"Add (3,6)\",\"Add (2,5)\",\"Add (0,4)\",\"Add (1,5)\"],\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,98],[0,2,42],[0,3,27],[0,4,41],[0,5,81],[0,6,78],[1,2,65],[1,3,50],[1,4,65],[1,5,41],[1,6,68],[2,3,8],[2,4,67],[2,5,36],[2,6,51],[3,4,49],[3,5,99],[3,6,30],[4,5,76],[4,6,44],[5,6,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=8, w=8\",\"Add (0,3)=27, w=35\",\"Add (3,6)=30, w=65\",\"Add (2,5)=36, w=101\",\"Add (0,4)=41, w=142\",\"Add (1,5)=41, w=183\"],\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,98],[0,2,42],[0,3,27],[0,4,41],[0,5,81],[0,6,78],[1,2,65],[1,3,50],[1,4,65],[1,5,41],[1,6,68],[2,3,8],[2,4,67],[2,5,36],[2,6,51],[3,4,49],[3,5,99],[3,6,30],[4,5,76],[4,6,44],[5,6,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=8 Succeeded, w=8\",\"Add (0,3)=27 Succeeded, w=35\",\"Add (3,6)=30 Succeeded, w=65\",\"Add (2,5)=36 Succeeded, w=101\",\"Add (0,4)=41 Succeeded, w=142\",\"Add (1,5)=41 Succeeded, w=183\",\"Add (0,2)=42 Failed, w=183\",\"Add (4,6)=44 Failed, w=183\",\"Add (5,6)=47 Failed, w=183\",\"Add (3,4)=49 Failed, w=183\",\"Add (1,3)=50 Failed, w=183\",\"Add (2,6)=51 Failed, w=183\",\"Add (1,2)=65 Failed, w=183\",\"Add (1,4)=65 Failed, w=183\",\"Add (2,4)=67 Failed, w=183\",\"Add (1,6)=68 Failed, w=183\",\"Add (4,5)=76 Failed, w=183\",\"Add (0,6)=78 Failed, w=183\",\"Add (0,5)=81 Failed, w=183\",\"Add (0,1)=98 Failed, w=183\",\"Add (3,5)=99 Failed, w=183\"],\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,98],[0,2,42],[0,3,27],[0,4,41],[0,5,81],[0,6,78],[1,2,65],[1,3,50],[1,4,65],[1,5,41],[1,6,68],[2,3,8],[2,4,67],[2,5,36],[2,6,51],[3,4,49],[3,5,99],[3,6,30],[4,5,76],[4,6,44],[5,6,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=8,(0,3)=27,(3,6)=30,(2,5)=36,(0,4)=41,(1,5)=41,(0,2)=42,(4,6)=44,(5,6)=47,(3,4)=49,(1,3)=50,(2,6)=51,(1,2)=65,(1,4)=65,(2,4)=67,(1,6)=68,(4,5)=76,(0,6)=78,(0,5)=81,(0,1)=98,(3,5)=99]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=8\",\"Find(0)=0, Find(3)=2, Add (0,3)=27 Succeeded, w=35\",\"Find(3)=2, Find(6)=6, Add (3,6)=30 Succeeded, w=65\",\"Find(2)=2, Find(5)=5, Add (2,5)=36 Succeeded, w=101\",\"Find(0)=2, Find(4)=4, Add (0,4)=41 Succeeded, w=142\",\"Find(1)=1, Find(5)=2, Add (1,5)=41 Succeeded, w=183\",\"Find(0)=2, Find(2)=2, Add (0,2)=42 Failed, w=183\",\"Find(4)=2, Find(6)=2, Add (4,6)=44 Failed, w=183\",\"Find(5)=2, Find(6)=2, Add (5,6)=47 Failed, w=183\",\"Find(3)=2, Find(4)=2, Add (3,4)=49 Failed, w=183\",\"Find(1)=2, Find(3)=2, Add (1,3)=50 Failed, w=183\",\"Find(2)=2, Find(6)=2, Add (2,6)=51 Failed, w=183\",\"Find(1)=2, Find(2)=2, Add (1,2)=65 Failed, w=183\",\"Find(1)=2, Find(4)=2, Add (1,4)=65 Failed, w=183\",\"Find(2)=2, Find(4)=2, Add (2,4)=67 Failed, w=183\",\"Find(1)=2, Find(6)=2, Add (1,6)=68 Failed, w=183\",\"Find(4)=2, Find(5)=2, Add (4,5)=76 Failed, w=183\",\"Find(0)=2, Find(6)=2, Add (0,6)=78 Failed, w=183\",\"Find(0)=2, Find(5)=2, Add (0,5)=81 Failed, w=183\",\"Find(0)=2, Find(1)=2, Add (0,1)=98 Failed, w=183\",\"Find(3)=2, Find(5)=2, Add (3,5)=99 Failed, w=183\"],\"Answer\":183}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,98],[0,2,42],[0,3,27],[0,4,41],[0,5,81],[0,6,78],[1,2,65],[1,3,50],[1,4,65],[1,5,41],[1,6,68],[2,3,8],[2,4,67],[2,5,36],[2,6,51],[3,4,49],[3,5,99],[3,6,30],[4,5,76],[4,6,44],[5,6,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=8,(0,3)=27,(3,6)=30,(2,5)=36,(0,4)=41,(1,5)=41,(0,2)=42,(4,6)=44,(5,6)=47,(3,4)=49,(1,3)=50,(2,6)=51,(1,2)=65,(1,4)=65,(2,4)=67,(1,6)=68,(4,5)=76,(0,6)=78,(0,5)=81,(0,1)=98,(3,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=8 Succeeded, w=8\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=2, Add (0,3)=27 Succeeded, w=35\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5, 6: 2}, Find(3)=2, Find(6)=6, Add (3,6)=30 Succeeded, w=65\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2}, Find(2)=2, Find(5)=5, Add (2,5)=36 Succeeded, w=101\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=4, Add (0,4)=41 Succeeded, w=142\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=1, Find(5)=2, Add (1,5)=41 Succeeded, w=183\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=42 Failed, w=183\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=44 Failed, w=183\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=47 Failed, w=183\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=49 Failed, w=183\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(3)=2, Add (1,3)=50 Failed, w=183\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=51 Failed, w=183\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=65 Failed, w=183\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=65 Failed, w=183\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=67 Failed, w=183\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=68 Failed, w=183\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=76 Failed, w=183\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=78 Failed, w=183\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=81 Failed, w=183\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=98 Failed, w=183\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=99 Failed, w=183\"],\"Answer\":183}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,1],[0,3,28],[1,2,61],[1,3,4],[2,3,97]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,1],[0,3,28],[1,2,61],[1,3,4],[2,3,97]]}",
"role": "user"
},
{
"content": "{\"Answer\":33}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,1],[0,3,28],[1,2,61],[1,3,4],[2,3,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":33}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,1],[0,3,28],[1,2,61],[1,3,4],[2,3,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1, w=1\",\"Add (1,3)=4, w=5\",\"Add (0,3)=28, w=33\"],\"Answer\":33}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,1],[0,3,28],[1,2,61],[1,3,4],[2,3,97]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1 Succeeded, w=1\",\"Add (1,3)=4 Succeeded, w=5\",\"Add (0,3)=28 Succeeded, w=33\",\"Add (1,2)=61 Failed, w=33\",\"Add (2,3)=97 Failed, w=33\"],\"Answer\":33}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,1],[0,3,28],[1,2,61],[1,3,4],[2,3,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(1,3)=4,(0,3)=28,(1,2)=61,(2,3)=97]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=5\",\"Find(0)=0, Find(3)=1, Add (0,3)=28 Succeeded, w=33\",\"Find(1)=0, Find(2)=0, Add (1,2)=61 Failed, w=33\",\"Find(2)=0, Find(3)=0, Add (2,3)=97 Failed, w=33\"],\"Answer\":33}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,1],[0,3,28],[1,2,61],[1,3,4],[2,3,97]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(1,3)=4,(0,3)=28,(1,2)=61,(2,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=4 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=28 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(1)=0, Find(2)=0, Add (1,2)=61 Failed, w=33\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=97 Failed, w=33\"],\"Answer\":33}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,4],[0,2,67],[0,3,35],[0,4,71],[0,5,54],[0,6,35],[0,7,68],[1,2,25],[1,3,32],[1,4,34],[1,5,44],[1,6,84],[1,7,40],[2,3,26],[2,4,73],[2,5,10],[2,6,56],[2,7,86],[3,4,62],[3,5,51],[3,6,98],[3,7,13],[4,5,13],[4,6,79],[4,7,33],[5,6,21],[5,7,27],[6,7,92]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,67],[0,3,35],[0,4,71],[0,5,54],[0,6,35],[0,7,68],[1,2,25],[1,3,32],[1,4,34],[1,5,44],[1,6,84],[1,7,40],[2,3,26],[2,4,73],[2,5,10],[2,6,56],[2,7,86],[3,4,62],[3,5,51],[3,6,98],[3,7,13],[4,5,13],[4,6,79],[4,7,33],[5,6,21],[5,7,27],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,67],[0,3,35],[0,4,71],[0,5,54],[0,6,35],[0,7,68],[1,2,25],[1,3,32],[1,4,34],[1,5,44],[1,6,84],[1,7,40],[2,3,26],[2,4,73],[2,5,10],[2,6,56],[2,7,86],[3,4,62],[3,5,51],[3,6,98],[3,7,13],[4,5,13],[4,6,79],[4,7,33],[5,6,21],[5,7,27],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,5)\",\"Add (3,7)\",\"Add (4,5)\",\"Add (5,6)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,67],[0,3,35],[0,4,71],[0,5,54],[0,6,35],[0,7,68],[1,2,25],[1,3,32],[1,4,34],[1,5,44],[1,6,84],[1,7,40],[2,3,26],[2,4,73],[2,5,10],[2,6,56],[2,7,86],[3,4,62],[3,5,51],[3,6,98],[3,7,13],[4,5,13],[4,6,79],[4,7,33],[5,6,21],[5,7,27],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=4, w=4\",\"Add (2,5)=10, w=14\",\"Add (3,7)=13, w=27\",\"Add (4,5)=13, w=40\",\"Add (5,6)=21, w=61\",\"Add (1,2)=25, w=86\",\"Add (2,3)=26, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,67],[0,3,35],[0,4,71],[0,5,54],[0,6,35],[0,7,68],[1,2,25],[1,3,32],[1,4,34],[1,5,44],[1,6,84],[1,7,40],[2,3,26],[2,4,73],[2,5,10],[2,6,56],[2,7,86],[3,4,62],[3,5,51],[3,6,98],[3,7,13],[4,5,13],[4,6,79],[4,7,33],[5,6,21],[5,7,27],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=4 Succeeded, w=4\",\"Add (2,5)=10 Succeeded, w=14\",\"Add (3,7)=13 Succeeded, w=27\",\"Add (4,5)=13 Succeeded, w=40\",\"Add (5,6)=21 Succeeded, w=61\",\"Add (1,2)=25 Succeeded, w=86\",\"Add (2,3)=26 Succeeded, w=112\",\"Add (5,7)=27 Failed, w=112\",\"Add (1,3)=32 Failed, w=112\",\"Add (4,7)=33 Failed, w=112\",\"Add (1,4)=34 Failed, w=112\",\"Add (0,3)=35 Failed, w=112\",\"Add (0,6)=35 Failed, w=112\",\"Add (1,7)=40 Failed, w=112\",\"Add (1,5)=44 Failed, w=112\",\"Add (3,5)=51 Failed, w=112\",\"Add (0,5)=54 Failed, w=112\",\"Add (2,6)=56 Failed, w=112\",\"Add (3,4)=62 Failed, w=112\",\"Add (0,2)=67 Failed, w=112\",\"Add (0,7)=68 Failed, w=112\",\"Add (0,4)=71 Failed, w=112\",\"Add (2,4)=73 Failed, w=112\",\"Add (4,6)=79 Failed, w=112\",\"Add (1,6)=84 Failed, w=112\",\"Add (2,7)=86 Failed, w=112\",\"Add (6,7)=92 Failed, w=112\",\"Add (3,6)=98 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,67],[0,3,35],[0,4,71],[0,5,54],[0,6,35],[0,7,68],[1,2,25],[1,3,32],[1,4,34],[1,5,44],[1,6,84],[1,7,40],[2,3,26],[2,4,73],[2,5,10],[2,6,56],[2,7,86],[3,4,62],[3,5,51],[3,6,98],[3,7,13],[4,5,13],[4,6,79],[4,7,33],[5,6,21],[5,7,27],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=4,(2,5)=10,(3,7)=13,(4,5)=13,(5,6)=21,(1,2)=25,(2,3)=26,(5,7)=27,(1,3)=32,(4,7)=33,(1,4)=34,(0,3)=35,(0,6)=35,(1,7)=40,(1,5)=44,(3,5)=51,(0,5)=54,(2,6)=56,(3,4)=62,(0,2)=67,(0,7)=68,(0,4)=71,(2,4)=73,(4,6)=79,(1,6)=84,(2,7)=86,(6,7)=92,(3,6)=98]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=4\",\"Find(2)=2, Find(5)=5, Add (2,5)=10 Succeeded, w=14\",\"Find(3)=3, Find(7)=7, Add (3,7)=13 Succeeded, w=27\",\"Find(4)=4, Find(5)=2, Add (4,5)=13 Succeeded, w=40\",\"Find(5)=2, Find(6)=6, Add (5,6)=21 Succeeded, w=61\",\"Find(1)=0, Find(2)=2, Add (1,2)=25 Succeeded, w=86\",\"Find(2)=0, Find(3)=3, Add (2,3)=26 Succeeded, w=112\",\"Find(5)=0, Find(7)=0, Add (5,7)=27 Failed, w=112\",\"Find(1)=0, Find(3)=0, Add (1,3)=32 Failed, w=112\",\"Find(4)=0, Find(7)=0, Add (4,7)=33 Failed, w=112\",\"Find(1)=0, Find(4)=0, Add (1,4)=34 Failed, w=112\",\"Find(0)=0, Find(3)=0, Add (0,3)=35 Failed, w=112\",\"Find(0)=0, Find(6)=0, Add (0,6)=35 Failed, w=112\",\"Find(1)=0, Find(7)=0, Add (1,7)=40 Failed, w=112\",\"Find(1)=0, Find(5)=0, Add (1,5)=44 Failed, w=112\",\"Find(3)=0, Find(5)=0, Add (3,5)=51 Failed, w=112\",\"Find(0)=0, Find(5)=0, Add (0,5)=54 Failed, w=112\",\"Find(2)=0, Find(6)=0, Add (2,6)=56 Failed, w=112\",\"Find(3)=0, Find(4)=0, Add (3,4)=62 Failed, w=112\",\"Find(0)=0, Find(2)=0, Add (0,2)=67 Failed, w=112\",\"Find(0)=0, Find(7)=0, Add (0,7)=68 Failed, w=112\",\"Find(0)=0, Find(4)=0, Add (0,4)=71 Failed, w=112\",\"Find(2)=0, Find(4)=0, Add (2,4)=73 Failed, w=112\",\"Find(4)=0, Find(6)=0, Add (4,6)=79 Failed, w=112\",\"Find(1)=0, Find(6)=0, Add (1,6)=84 Failed, w=112\",\"Find(2)=0, Find(7)=0, Add (2,7)=86 Failed, w=112\",\"Find(6)=0, Find(7)=0, Add (6,7)=92 Failed, w=112\",\"Find(3)=0, Find(6)=0, Add (3,6)=98 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,4],[0,2,67],[0,3,35],[0,4,71],[0,5,54],[0,6,35],[0,7,68],[1,2,25],[1,3,32],[1,4,34],[1,5,44],[1,6,84],[1,7,40],[2,3,26],[2,4,73],[2,5,10],[2,6,56],[2,7,86],[3,4,62],[3,5,51],[3,6,98],[3,7,13],[4,5,13],[4,6,79],[4,7,33],[5,6,21],[5,7,27],[6,7,92]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=4,(2,5)=10,(3,7)=13,(4,5)=13,(5,6)=21,(1,2)=25,(2,3)=26,(5,7)=27,(1,3)=32,(4,7)=33,(1,4)=34,(0,3)=35,(0,6)=35,(1,7)=40,(1,5)=44,(3,5)=51,(0,5)=54,(2,6)=56,(3,4)=62,(0,2)=67,(0,7)=68,(0,4)=71,(2,4)=73,(4,6)=79,(1,6)=84,(2,7)=86,(6,7)=92,(3,6)=98]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=10 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=13 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6, 7: 3}, Find(4)=4, Find(5)=2, Add (4,5)=13 Succeeded, w=40\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 2, 6: 2, 7: 3}, Find(5)=2, Find(6)=6, Add (5,6)=21 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2, 5: 2, 6: 2, 7: 3}, Find(1)=0, Find(2)=2, Add (1,2)=25 Succeeded, w=86\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 2, 6: 2, 7: 3}, Find(2)=0, Find(3)=3, Add (2,3)=26 Succeeded, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 2, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=27 Failed, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 0, 6: 2, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=32 Failed, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=33 Failed, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=34 Failed, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 2, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=35 Failed, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=35 Failed, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=40 Failed, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=44 Failed, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=51 Failed, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=54 Failed, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(6)=0, Add (2,6)=56 Failed, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(4)=0, Add (3,4)=62 Failed, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=67 Failed, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=68 Failed, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=71 Failed, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=73 Failed, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=79 Failed, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=84 Failed, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=86 Failed, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=92 Failed, w=112\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=98 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,19],[0,2,0],[0,3,25],[0,4,66],[0,5,7],[0,6,55],[1,2,72],[1,3,50],[1,4,75],[2,3,56],[2,4,37],[2,5,37],[2,6,17],[3,4,83],[3,5,95],[4,5,45],[5,6,32]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,19],[0,2,0],[0,3,25],[0,4,66],[0,5,7],[0,6,55],[1,2,72],[1,3,50],[1,4,75],[2,3,56],[2,4,37],[2,5,37],[2,6,17],[3,4,83],[3,5,95],[4,5,45],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,19],[0,2,0],[0,3,25],[0,4,66],[0,5,7],[0,6,55],[1,2,72],[1,3,50],[1,4,75],[2,3,56],[2,4,37],[2,5,37],[2,6,17],[3,4,83],[3,5,95],[4,5,45],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,5)\",\"Add (2,6)\",\"Add (0,1)\",\"Add (0,3)\",\"Add (2,4)\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,19],[0,2,0],[0,3,25],[0,4,66],[0,5,7],[0,6,55],[1,2,72],[1,3,50],[1,4,75],[2,3,56],[2,4,37],[2,5,37],[2,6,17],[3,4,83],[3,5,95],[4,5,45],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0, w=0\",\"Add (0,5)=7, w=7\",\"Add (2,6)=17, w=24\",\"Add (0,1)=19, w=43\",\"Add (0,3)=25, w=68\",\"Add (2,4)=37, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,19],[0,2,0],[0,3,25],[0,4,66],[0,5,7],[0,6,55],[1,2,72],[1,3,50],[1,4,75],[2,3,56],[2,4,37],[2,5,37],[2,6,17],[3,4,83],[3,5,95],[4,5,45],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0 Succeeded, w=0\",\"Add (0,5)=7 Succeeded, w=7\",\"Add (2,6)=17 Succeeded, w=24\",\"Add (0,1)=19 Succeeded, w=43\",\"Add (0,3)=25 Succeeded, w=68\",\"Add (5,6)=32 Failed, w=68\",\"Add (2,4)=37 Succeeded, w=105\",\"Add (2,5)=37 Failed, w=105\",\"Add (4,5)=45 Failed, w=105\",\"Add (1,3)=50 Failed, w=105\",\"Add (0,6)=55 Failed, w=105\",\"Add (2,3)=56 Failed, w=105\",\"Add (0,4)=66 Failed, w=105\",\"Add (1,2)=72 Failed, w=105\",\"Add (1,4)=75 Failed, w=105\",\"Add (3,4)=83 Failed, w=105\",\"Add (3,5)=95 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,19],[0,2,0],[0,3,25],[0,4,66],[0,5,7],[0,6,55],[1,2,72],[1,3,50],[1,4,75],[2,3,56],[2,4,37],[2,5,37],[2,6,17],[3,4,83],[3,5,95],[4,5,45],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(0,5)=7,(2,6)=17,(0,1)=19,(0,3)=25,(5,6)=32,(2,4)=37,(2,5)=37,(4,5)=45,(1,3)=50,(0,6)=55,(2,3)=56,(0,4)=66,(1,2)=72,(1,4)=75,(3,4)=83,(3,5)=95]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Find(0)=0, Find(5)=5, Add (0,5)=7 Succeeded, w=7\",\"Find(2)=0, Find(6)=6, Add (2,6)=17 Succeeded, w=24\",\"Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=43\",\"Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=68\",\"Find(5)=0, Find(6)=0, Add (5,6)=32 Failed, w=68\",\"Find(2)=0, Find(4)=4, Add (2,4)=37 Succeeded, w=105\",\"Find(2)=0, Find(5)=0, Add (2,5)=37 Failed, w=105\",\"Find(4)=0, Find(5)=0, Add (4,5)=45 Failed, w=105\",\"Find(1)=0, Find(3)=0, Add (1,3)=50 Failed, w=105\",\"Find(0)=0, Find(6)=0, Add (0,6)=55 Failed, w=105\",\"Find(2)=0, Find(3)=0, Add (2,3)=56 Failed, w=105\",\"Find(0)=0, Find(4)=0, Add (0,4)=66 Failed, w=105\",\"Find(1)=0, Find(2)=0, Add (1,2)=72 Failed, w=105\",\"Find(1)=0, Find(4)=0, Add (1,4)=75 Failed, w=105\",\"Find(3)=0, Find(4)=0, Add (3,4)=83 Failed, w=105\",\"Find(3)=0, Find(5)=0, Add (3,5)=95 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,19],[0,2,0],[0,3,25],[0,4,66],[0,5,7],[0,6,55],[1,2,72],[1,3,50],[1,4,75],[2,3,56],[2,4,37],[2,5,37],[2,6,17],[3,4,83],[3,5,95],[4,5,45],[5,6,32]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(0,5)=7,(2,6)=17,(0,1)=19,(0,3)=25,(5,6)=32,(2,4)=37,(2,5)=37,(4,5)=45,(1,3)=50,(0,6)=55,(2,3)=56,(0,4)=66,(1,2)=72,(1,4)=75,(3,4)=83,(3,5)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 0}, Find(2)=0, Find(6)=6, Add (2,6)=17 Succeeded, w=24\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 0}, Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=32 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=4, Add (2,4)=37 Succeeded, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=37 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=45 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=50 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=55 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=56 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=66 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=72 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=75 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=83 Failed, w=105\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=95 Failed, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,79],[0,2,21],[0,3,72],[0,4,25],[0,5,94],[0,6,18],[1,3,74],[1,4,31],[1,5,65],[1,6,28],[2,3,46],[2,4,45],[2,5,17],[2,6,45],[3,4,21],[3,5,97],[3,6,28],[4,5,75],[4,6,78],[5,6,88]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,2,21],[0,3,72],[0,4,25],[0,5,94],[0,6,18],[1,3,74],[1,4,31],[1,5,65],[1,6,28],[2,3,46],[2,4,45],[2,5,17],[2,6,45],[3,4,21],[3,5,97],[3,6,28],[4,5,75],[4,6,78],[5,6,88]]}",
"role": "user"
},
{
"content": "{\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,2,21],[0,3,72],[0,4,25],[0,5,94],[0,6,18],[1,3,74],[1,4,31],[1,5,65],[1,6,28],[2,3,46],[2,4,45],[2,5,17],[2,6,45],[3,4,21],[3,5,97],[3,6,28],[4,5,75],[4,6,78],[5,6,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (0,6)\",\"Add (0,2)\",\"Add (3,4)\",\"Add (0,4)\",\"Add (1,6)\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,2,21],[0,3,72],[0,4,25],[0,5,94],[0,6,18],[1,3,74],[1,4,31],[1,5,65],[1,6,28],[2,3,46],[2,4,45],[2,5,17],[2,6,45],[3,4,21],[3,5,97],[3,6,28],[4,5,75],[4,6,78],[5,6,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=17, w=17\",\"Add (0,6)=18, w=35\",\"Add (0,2)=21, w=56\",\"Add (3,4)=21, w=77\",\"Add (0,4)=25, w=102\",\"Add (1,6)=28, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,2,21],[0,3,72],[0,4,25],[0,5,94],[0,6,18],[1,3,74],[1,4,31],[1,5,65],[1,6,28],[2,3,46],[2,4,45],[2,5,17],[2,6,45],[3,4,21],[3,5,97],[3,6,28],[4,5,75],[4,6,78],[5,6,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=17 Succeeded, w=17\",\"Add (0,6)=18 Succeeded, w=35\",\"Add (0,2)=21 Succeeded, w=56\",\"Add (3,4)=21 Succeeded, w=77\",\"Add (0,4)=25 Succeeded, w=102\",\"Add (1,6)=28 Succeeded, w=130\",\"Add (3,6)=28 Failed, w=130\",\"Add (1,4)=31 Failed, w=130\",\"Add (2,4)=45 Failed, w=130\",\"Add (2,6)=45 Failed, w=130\",\"Add (2,3)=46 Failed, w=130\",\"Add (1,5)=65 Failed, w=130\",\"Add (0,3)=72 Failed, w=130\",\"Add (1,3)=74 Failed, w=130\",\"Add (4,5)=75 Failed, w=130\",\"Add (4,6)=78 Failed, w=130\",\"Add (0,1)=79 Failed, w=130\",\"Add (5,6)=88 Failed, w=130\",\"Add (0,5)=94 Failed, w=130\",\"Add (3,5)=97 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,2,21],[0,3,72],[0,4,25],[0,5,94],[0,6,18],[1,3,74],[1,4,31],[1,5,65],[1,6,28],[2,3,46],[2,4,45],[2,5,17],[2,6,45],[3,4,21],[3,5,97],[3,6,28],[4,5,75],[4,6,78],[5,6,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=17,(0,6)=18,(0,2)=21,(3,4)=21,(0,4)=25,(1,6)=28,(3,6)=28,(1,4)=31,(2,4)=45,(2,6)=45,(2,3)=46,(1,5)=65,(0,3)=72,(1,3)=74,(4,5)=75,(4,6)=78,(0,1)=79,(5,6)=88,(0,5)=94,(3,5)=97]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=17 Succeeded, w=17\",\"Find(0)=0, Find(6)=6, Add (0,6)=18 Succeeded, w=35\",\"Find(0)=0, Find(2)=2, Add (0,2)=21 Succeeded, w=56\",\"Find(3)=3, Find(4)=4, Add (3,4)=21 Succeeded, w=77\",\"Find(0)=0, Find(4)=3, Add (0,4)=25 Succeeded, w=102\",\"Find(1)=1, Find(6)=0, Add (1,6)=28 Succeeded, w=130\",\"Find(3)=0, Find(6)=0, Add (3,6)=28 Failed, w=130\",\"Find(1)=0, Find(4)=0, Add (1,4)=31 Failed, w=130\",\"Find(2)=0, Find(4)=0, Add (2,4)=45 Failed, w=130\",\"Find(2)=0, Find(6)=0, Add (2,6)=45 Failed, w=130\",\"Find(2)=0, Find(3)=0, Add (2,3)=46 Failed, w=130\",\"Find(1)=0, Find(5)=0, Add (1,5)=65 Failed, w=130\",\"Find(0)=0, Find(3)=0, Add (0,3)=72 Failed, w=130\",\"Find(1)=0, Find(3)=0, Add (1,3)=74 Failed, w=130\",\"Find(4)=0, Find(5)=0, Add (4,5)=75 Failed, w=130\",\"Find(4)=0, Find(6)=0, Add (4,6)=78 Failed, w=130\",\"Find(0)=0, Find(1)=0, Add (0,1)=79 Failed, w=130\",\"Find(5)=0, Find(6)=0, Add (5,6)=88 Failed, w=130\",\"Find(0)=0, Find(5)=0, Add (0,5)=94 Failed, w=130\",\"Find(3)=0, Find(5)=0, Add (3,5)=97 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,2,21],[0,3,72],[0,4,25],[0,5,94],[0,6,18],[1,3,74],[1,4,31],[1,5,65],[1,6,28],[2,3,46],[2,4,45],[2,5,17],[2,6,45],[3,4,21],[3,5,97],[3,6,28],[4,5,75],[4,6,78],[5,6,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=17,(0,6)=18,(0,2)=21,(3,4)=21,(0,4)=25,(1,6)=28,(3,6)=28,(1,4)=31,(2,4)=45,(2,6)=45,(2,3)=46,(1,5)=65,(0,3)=72,(1,3)=74,(4,5)=75,(4,6)=78,(0,1)=79,(5,6)=88,(0,5)=94,(3,5)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=18 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 2, 6: 0}, Find(0)=0, Find(2)=2, Add (0,2)=21 Succeeded, w=56\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 2, 6: 0}, Find(3)=3, Find(4)=4, Add (3,4)=21 Succeeded, w=77\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3, 5: 2, 6: 0}, Find(0)=0, Find(4)=3, Add (0,4)=25 Succeeded, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 2, 6: 0}, Find(1)=1, Find(6)=0, Add (1,6)=28 Succeeded, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 2, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=28 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=31 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=45 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=45 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=46 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=65 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=72 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=74 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=75 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=78 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=79 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=88 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=94 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=97 Failed, w=130\"],\"Answer\":130}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,17],[0,2,59],[0,3,41],[0,4,6],[0,5,77],[0,6,13],[1,2,68],[1,3,82],[1,4,9],[1,5,37],[1,6,14],[2,3,68],[2,4,64],[2,6,34],[3,4,54],[3,5,72],[3,6,46],[4,5,10],[4,6,23],[5,6,94]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,17],[0,2,59],[0,3,41],[0,4,6],[0,5,77],[0,6,13],[1,2,68],[1,3,82],[1,4,9],[1,5,37],[1,6,14],[2,3,68],[2,4,64],[2,6,34],[3,4,54],[3,5,72],[3,6,46],[4,5,10],[4,6,23],[5,6,94]]}",
"role": "user"
},
{
"content": "{\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,17],[0,2,59],[0,3,41],[0,4,6],[0,5,77],[0,6,13],[1,2,68],[1,3,82],[1,4,9],[1,5,37],[1,6,14],[2,3,68],[2,4,64],[2,6,34],[3,4,54],[3,5,72],[3,6,46],[4,5,10],[4,6,23],[5,6,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,4)\",\"Add (4,5)\",\"Add (0,6)\",\"Add (2,6)\",\"Add (0,3)\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,17],[0,2,59],[0,3,41],[0,4,6],[0,5,77],[0,6,13],[1,2,68],[1,3,82],[1,4,9],[1,5,37],[1,6,14],[2,3,68],[2,4,64],[2,6,34],[3,4,54],[3,5,72],[3,6,46],[4,5,10],[4,6,23],[5,6,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=6, w=6\",\"Add (1,4)=9, w=15\",\"Add (4,5)=10, w=25\",\"Add (0,6)=13, w=38\",\"Add (2,6)=34, w=72\",\"Add (0,3)=41, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,17],[0,2,59],[0,3,41],[0,4,6],[0,5,77],[0,6,13],[1,2,68],[1,3,82],[1,4,9],[1,5,37],[1,6,14],[2,3,68],[2,4,64],[2,6,34],[3,4,54],[3,5,72],[3,6,46],[4,5,10],[4,6,23],[5,6,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=6 Succeeded, w=6\",\"Add (1,4)=9 Succeeded, w=15\",\"Add (4,5)=10 Succeeded, w=25\",\"Add (0,6)=13 Succeeded, w=38\",\"Add (1,6)=14 Failed, w=38\",\"Add (0,1)=17 Failed, w=38\",\"Add (4,6)=23 Failed, w=38\",\"Add (2,6)=34 Succeeded, w=72\",\"Add (1,5)=37 Failed, w=72\",\"Add (0,3)=41 Succeeded, w=113\",\"Add (3,6)=46 Failed, w=113\",\"Add (3,4)=54 Failed, w=113\",\"Add (0,2)=59 Failed, w=113\",\"Add (2,4)=64 Failed, w=113\",\"Add (1,2)=68 Failed, w=113\",\"Add (2,3)=68 Failed, w=113\",\"Add (3,5)=72 Failed, w=113\",\"Add (0,5)=77 Failed, w=113\",\"Add (1,3)=82 Failed, w=113\",\"Add (5,6)=94 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,17],[0,2,59],[0,3,41],[0,4,6],[0,5,77],[0,6,13],[1,2,68],[1,3,82],[1,4,9],[1,5,37],[1,6,14],[2,3,68],[2,4,64],[2,6,34],[3,4,54],[3,5,72],[3,6,46],[4,5,10],[4,6,23],[5,6,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=6,(1,4)=9,(4,5)=10,(0,6)=13,(1,6)=14,(0,1)=17,(4,6)=23,(2,6)=34,(1,5)=37,(0,3)=41,(3,6)=46,(3,4)=54,(0,2)=59,(2,4)=64,(1,2)=68,(2,3)=68,(3,5)=72,(0,5)=77,(1,3)=82,(5,6)=94]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=6 Succeeded, w=6\",\"Find(1)=1, Find(4)=0, Add (1,4)=9 Succeeded, w=15\",\"Find(4)=0, Find(5)=5, Add (4,5)=10 Succeeded, w=25\",\"Find(0)=0, Find(6)=6, Add (0,6)=13 Succeeded, w=38\",\"Find(1)=0, Find(6)=0, Add (1,6)=14 Failed, w=38\",\"Find(0)=0, Find(1)=0, Add (0,1)=17 Failed, w=38\",\"Find(4)=0, Find(6)=0, Add (4,6)=23 Failed, w=38\",\"Find(2)=2, Find(6)=0, Add (2,6)=34 Succeeded, w=72\",\"Find(1)=0, Find(5)=0, Add (1,5)=37 Failed, w=72\",\"Find(0)=0, Find(3)=3, Add (0,3)=41 Succeeded, w=113\",\"Find(3)=0, Find(6)=0, Add (3,6)=46 Failed, w=113\",\"Find(3)=0, Find(4)=0, Add (3,4)=54 Failed, w=113\",\"Find(0)=0, Find(2)=0, Add (0,2)=59 Failed, w=113\",\"Find(2)=0, Find(4)=0, Add (2,4)=64 Failed, w=113\",\"Find(1)=0, Find(2)=0, Add (1,2)=68 Failed, w=113\",\"Find(2)=0, Find(3)=0, Add (2,3)=68 Failed, w=113\",\"Find(3)=0, Find(5)=0, Add (3,5)=72 Failed, w=113\",\"Find(0)=0, Find(5)=0, Add (0,5)=77 Failed, w=113\",\"Find(1)=0, Find(3)=0, Add (1,3)=82 Failed, w=113\",\"Find(5)=0, Find(6)=0, Add (5,6)=94 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,17],[0,2,59],[0,3,41],[0,4,6],[0,5,77],[0,6,13],[1,2,68],[1,3,82],[1,4,9],[1,5,37],[1,6,14],[2,3,68],[2,4,64],[2,6,34],[3,4,54],[3,5,72],[3,6,46],[4,5,10],[4,6,23],[5,6,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=6,(1,4)=9,(4,5)=10,(0,6)=13,(1,6)=14,(0,1)=17,(4,6)=23,(2,6)=34,(1,5)=37,(0,3)=41,(3,6)=46,(3,4)=54,(0,2)=59,(2,4)=64,(1,2)=68,(2,3)=68,(3,5)=72,(0,5)=77,(1,3)=82,(5,6)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6}, Find(1)=1, Find(4)=0, Add (1,4)=9 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0, 6: 6}, Find(4)=0, Find(5)=5, Add (4,5)=10 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=13 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=14 Failed, w=38\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=17 Failed, w=38\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=23 Failed, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(2)=2, Find(6)=0, Add (2,6)=34 Succeeded, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=37 Failed, w=72\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=3, Add (0,3)=41 Succeeded, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=46 Failed, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=54 Failed, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=59 Failed, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=64 Failed, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=68 Failed, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=68 Failed, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=72 Failed, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=77 Failed, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=82 Failed, w=113\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=94 Failed, w=113\"],\"Answer\":113}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,5],[0,2,75],[0,3,51],[0,4,6],[0,5,97],[0,6,21],[1,2,14],[1,3,98],[1,4,56],[1,5,66],[1,6,43],[2,3,62],[2,4,90],[2,5,82],[2,6,14],[3,5,29],[4,5,33],[5,6,57]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,75],[0,3,51],[0,4,6],[0,5,97],[0,6,21],[1,2,14],[1,3,98],[1,4,56],[1,5,66],[1,6,43],[2,3,62],[2,4,90],[2,5,82],[2,6,14],[3,5,29],[4,5,33],[5,6,57]]}",
"role": "user"
},
{
"content": "{\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,75],[0,3,51],[0,4,6],[0,5,97],[0,6,21],[1,2,14],[1,3,98],[1,4,56],[1,5,66],[1,6,43],[2,3,62],[2,4,90],[2,5,82],[2,6,14],[3,5,29],[4,5,33],[5,6,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,4)\",\"Add (1,2)\",\"Add (2,6)\",\"Add (3,5)\",\"Add (4,5)\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,75],[0,3,51],[0,4,6],[0,5,97],[0,6,21],[1,2,14],[1,3,98],[1,4,56],[1,5,66],[1,6,43],[2,3,62],[2,4,90],[2,5,82],[2,6,14],[3,5,29],[4,5,33],[5,6,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=5, w=5\",\"Add (0,4)=6, w=11\",\"Add (1,2)=14, w=25\",\"Add (2,6)=14, w=39\",\"Add (3,5)=29, w=68\",\"Add (4,5)=33, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,75],[0,3,51],[0,4,6],[0,5,97],[0,6,21],[1,2,14],[1,3,98],[1,4,56],[1,5,66],[1,6,43],[2,3,62],[2,4,90],[2,5,82],[2,6,14],[3,5,29],[4,5,33],[5,6,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=5 Succeeded, w=5\",\"Add (0,4)=6 Succeeded, w=11\",\"Add (1,2)=14 Succeeded, w=25\",\"Add (2,6)=14 Succeeded, w=39\",\"Add (0,6)=21 Failed, w=39\",\"Add (3,5)=29 Succeeded, w=68\",\"Add (4,5)=33 Succeeded, w=101\",\"Add (1,6)=43 Failed, w=101\",\"Add (0,3)=51 Failed, w=101\",\"Add (1,4)=56 Failed, w=101\",\"Add (5,6)=57 Failed, w=101\",\"Add (2,3)=62 Failed, w=101\",\"Add (1,5)=66 Failed, w=101\",\"Add (0,2)=75 Failed, w=101\",\"Add (2,5)=82 Failed, w=101\",\"Add (2,4)=90 Failed, w=101\",\"Add (0,5)=97 Failed, w=101\",\"Add (1,3)=98 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,75],[0,3,51],[0,4,6],[0,5,97],[0,6,21],[1,2,14],[1,3,98],[1,4,56],[1,5,66],[1,6,43],[2,3,62],[2,4,90],[2,5,82],[2,6,14],[3,5,29],[4,5,33],[5,6,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=5,(0,4)=6,(1,2)=14,(2,6)=14,(0,6)=21,(3,5)=29,(4,5)=33,(1,6)=43,(0,3)=51,(1,4)=56,(5,6)=57,(2,3)=62,(1,5)=66,(0,2)=75,(2,5)=82,(2,4)=90,(0,5)=97,(1,3)=98]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=5\",\"Find(0)=0, Find(4)=4, Add (0,4)=6 Succeeded, w=11\",\"Find(1)=0, Find(2)=2, Add (1,2)=14 Succeeded, w=25\",\"Find(2)=0, Find(6)=6, Add (2,6)=14 Succeeded, w=39\",\"Find(0)=0, Find(6)=0, Add (0,6)=21 Failed, w=39\",\"Find(3)=3, Find(5)=5, Add (3,5)=29 Succeeded, w=68\",\"Find(4)=0, Find(5)=3, Add (4,5)=33 Succeeded, w=101\",\"Find(1)=0, Find(6)=0, Add (1,6)=43 Failed, w=101\",\"Find(0)=0, Find(3)=0, Add (0,3)=51 Failed, w=101\",\"Find(1)=0, Find(4)=0, Add (1,4)=56 Failed, w=101\",\"Find(5)=0, Find(6)=0, Add (5,6)=57 Failed, w=101\",\"Find(2)=0, Find(3)=0, Add (2,3)=62 Failed, w=101\",\"Find(1)=0, Find(5)=0, Add (1,5)=66 Failed, w=101\",\"Find(0)=0, Find(2)=0, Add (0,2)=75 Failed, w=101\",\"Find(2)=0, Find(5)=0, Add (2,5)=82 Failed, w=101\",\"Find(2)=0, Find(4)=0, Add (2,4)=90 Failed, w=101\",\"Find(0)=0, Find(5)=0, Add (0,5)=97 Failed, w=101\",\"Find(1)=0, Find(3)=0, Add (1,3)=98 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,5],[0,2,75],[0,3,51],[0,4,6],[0,5,97],[0,6,21],[1,2,14],[1,3,98],[1,4,56],[1,5,66],[1,6,43],[2,3,62],[2,4,90],[2,5,82],[2,6,14],[3,5,29],[4,5,33],[5,6,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=5,(0,4)=6,(1,2)=14,(2,6)=14,(0,6)=21,(3,5)=29,(4,5)=33,(1,6)=43,(0,3)=51,(1,4)=56,(5,6)=57,(2,3)=62,(1,5)=66,(0,2)=75,(2,5)=82,(2,4)=90,(0,5)=97,(1,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=6 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5, 6: 6}, Find(1)=0, Find(2)=2, Add (1,2)=14 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5, 6: 0}, Find(2)=0, Find(6)=6, Add (2,6)=14 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=21 Failed, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 3, 6: 0}, Find(3)=3, Find(5)=5, Add (3,5)=29 Succeeded, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(4)=0, Find(5)=3, Add (4,5)=33 Succeeded, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=43 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=51 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=56 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=57 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=62 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=66 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=75 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=82 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=90 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=97 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=98 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,3],[0,2,85],[0,3,90],[1,2,8],[1,3,75],[2,3,64]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,85],[0,3,90],[1,2,8],[1,3,75],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,85],[0,3,90],[1,2,8],[1,3,75],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,85],[0,3,90],[1,2,8],[1,3,75],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3, w=3\",\"Add (1,2)=8, w=11\",\"Add (2,3)=64, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,85],[0,3,90],[1,2,8],[1,3,75],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=3 Succeeded, w=3\",\"Add (1,2)=8 Succeeded, w=11\",\"Add (2,3)=64 Succeeded, w=75\",\"Add (1,3)=75 Failed, w=75\",\"Add (0,2)=85 Failed, w=75\",\"Add (0,3)=90 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,85],[0,3,90],[1,2,8],[1,3,75],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(1,2)=8,(2,3)=64,(1,3)=75,(0,2)=85,(0,3)=90]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Find(1)=0, Find(2)=2, Add (1,2)=8 Succeeded, w=11\",\"Find(2)=0, Find(3)=3, Add (2,3)=64 Succeeded, w=75\",\"Find(1)=0, Find(3)=0, Add (1,3)=75 Failed, w=75\",\"Find(0)=0, Find(2)=0, Add (0,2)=85 Failed, w=75\",\"Find(0)=0, Find(3)=0, Add (0,3)=90 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,3],[0,2,85],[0,3,90],[1,2,8],[1,3,75],[2,3,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=3,(1,2)=8,(2,3)=64,(1,3)=75,(0,2)=85,(0,3)=90]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=0, Find(2)=2, Add (1,2)=8 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=64 Succeeded, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=75 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=85 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=90 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,81],[0,2,0],[0,3,30],[1,3,49],[2,3,29]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,81],[0,2,0],[0,3,30],[1,3,49],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,81],[0,2,0],[0,3,30],[1,3,49],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,3)\",\"Add (1,3)\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,81],[0,2,0],[0,3,30],[1,3,49],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0, w=0\",\"Add (2,3)=29, w=29\",\"Add (1,3)=49, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,81],[0,2,0],[0,3,30],[1,3,49],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=0 Succeeded, w=0\",\"Add (2,3)=29 Succeeded, w=29\",\"Add (0,3)=30 Failed, w=29\",\"Add (1,3)=49 Succeeded, w=78\",\"Add (0,1)=81 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,81],[0,2,0],[0,3,30],[1,3,49],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(2,3)=29,(0,3)=30,(1,3)=49,(0,1)=81]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Find(2)=0, Find(3)=3, Add (2,3)=29 Succeeded, w=29\",\"Find(0)=0, Find(3)=0, Add (0,3)=30 Failed, w=29\",\"Find(1)=1, Find(3)=0, Add (1,3)=49 Succeeded, w=78\",\"Find(0)=0, Find(1)=0, Add (0,1)=81 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,81],[0,2,0],[0,3,30],[1,3,49],[2,3,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=0,(2,3)=29,(0,3)=30,(1,3)=49,(0,1)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=3, Add (2,3)=29 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=30 Failed, w=29\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=49 Succeeded, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=81 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,58],[0,2,89],[0,3,52],[0,4,63],[0,5,15],[1,2,100],[1,3,33],[1,4,75],[1,5,10],[2,3,94],[2,4,79],[2,5,24],[3,4,78],[3,5,60],[4,5,76]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,2,89],[0,3,52],[0,4,63],[0,5,15],[1,2,100],[1,3,33],[1,4,75],[1,5,10],[2,3,94],[2,4,79],[2,5,24],[3,4,78],[3,5,60],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,2,89],[0,3,52],[0,4,63],[0,5,15],[1,2,100],[1,3,33],[1,4,75],[1,5,10],[2,3,94],[2,4,79],[2,5,24],[3,4,78],[3,5,60],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (0,5)\",\"Add (2,5)\",\"Add (1,3)\",\"Add (0,4)\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,2,89],[0,3,52],[0,4,63],[0,5,15],[1,2,100],[1,3,33],[1,4,75],[1,5,10],[2,3,94],[2,4,79],[2,5,24],[3,4,78],[3,5,60],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=10, w=10\",\"Add (0,5)=15, w=25\",\"Add (2,5)=24, w=49\",\"Add (1,3)=33, w=82\",\"Add (0,4)=63, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,2,89],[0,3,52],[0,4,63],[0,5,15],[1,2,100],[1,3,33],[1,4,75],[1,5,10],[2,3,94],[2,4,79],[2,5,24],[3,4,78],[3,5,60],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=10 Succeeded, w=10\",\"Add (0,5)=15 Succeeded, w=25\",\"Add (2,5)=24 Succeeded, w=49\",\"Add (1,3)=33 Succeeded, w=82\",\"Add (0,3)=52 Failed, w=82\",\"Add (0,1)=58 Failed, w=82\",\"Add (3,5)=60 Failed, w=82\",\"Add (0,4)=63 Succeeded, w=145\",\"Add (1,4)=75 Failed, w=145\",\"Add (4,5)=76 Failed, w=145\",\"Add (3,4)=78 Failed, w=145\",\"Add (2,4)=79 Failed, w=145\",\"Add (0,2)=89 Failed, w=145\",\"Add (2,3)=94 Failed, w=145\",\"Add (1,2)=100 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,2,89],[0,3,52],[0,4,63],[0,5,15],[1,2,100],[1,3,33],[1,4,75],[1,5,10],[2,3,94],[2,4,79],[2,5,24],[3,4,78],[3,5,60],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=10,(0,5)=15,(2,5)=24,(1,3)=33,(0,3)=52,(0,1)=58,(3,5)=60,(0,4)=63,(1,4)=75,(4,5)=76,(3,4)=78,(2,4)=79,(0,2)=89,(2,3)=94,(1,2)=100]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=10 Succeeded, w=10\",\"Find(0)=0, Find(5)=1, Add (0,5)=15 Succeeded, w=25\",\"Find(2)=2, Find(5)=1, Add (2,5)=24 Succeeded, w=49\",\"Find(1)=1, Find(3)=3, Add (1,3)=33 Succeeded, w=82\",\"Find(0)=1, Find(3)=1, Add (0,3)=52 Failed, w=82\",\"Find(0)=1, Find(1)=1, Add (0,1)=58 Failed, w=82\",\"Find(3)=1, Find(5)=1, Add (3,5)=60 Failed, w=82\",\"Find(0)=1, Find(4)=4, Add (0,4)=63 Succeeded, w=145\",\"Find(1)=1, Find(4)=1, Add (1,4)=75 Failed, w=145\",\"Find(4)=1, Find(5)=1, Add (4,5)=76 Failed, w=145\",\"Find(3)=1, Find(4)=1, Add (3,4)=78 Failed, w=145\",\"Find(2)=1, Find(4)=1, Add (2,4)=79 Failed, w=145\",\"Find(0)=1, Find(2)=1, Add (0,2)=89 Failed, w=145\",\"Find(2)=1, Find(3)=1, Add (2,3)=94 Failed, w=145\",\"Find(1)=1, Find(2)=1, Add (1,2)=100 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,2,89],[0,3,52],[0,4,63],[0,5,15],[1,2,100],[1,3,33],[1,4,75],[1,5,10],[2,3,94],[2,4,79],[2,5,24],[3,4,78],[3,5,60],[4,5,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=10,(0,5)=15,(2,5)=24,(1,3)=33,(0,3)=52,(0,1)=58,(3,5)=60,(0,4)=63,(1,4)=75,(4,5)=76,(3,4)=78,(2,4)=79,(0,2)=89,(2,3)=94,(1,2)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=10 Succeeded, w=10\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(0)=0, Find(5)=1, Add (0,5)=15 Succeeded, w=25\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 4, 5: 1}, Find(2)=2, Find(5)=1, Add (2,5)=24 Succeeded, w=49\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1}, Find(1)=1, Find(3)=3, Add (1,3)=33 Succeeded, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=52 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=58 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=60 Failed, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=4, Add (0,4)=63 Succeeded, w=145\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(4)=1, Add (1,4)=75 Failed, w=145\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=76 Failed, w=145\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=78 Failed, w=145\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=79 Failed, w=145\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=89 Failed, w=145\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(3)=1, Add (2,3)=94 Failed, w=145\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=100 Failed, w=145\"],\"Answer\":145}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,33],[1,2,29]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,33],[1,2,29]]}",
"role": "user"
},
{
"content": "{\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,33],[1,2,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,33],[1,2,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=29, w=29\",\"Add (0,3)=33, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,33],[1,2,29]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=29 Succeeded, w=29\",\"Add (0,3)=33 Succeeded, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,33],[1,2,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=29,(0,3)=33]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=29 Succeeded, w=29\",\"Find(0)=0, Find(3)=3, Add (0,3)=33 Succeeded, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,33],[1,2,29]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=29,(0,3)=33]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=29 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=33 Succeeded, w=62\"],\"Answer\":62}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,90],[0,2,60],[0,3,70],[0,4,29],[1,2,96],[1,3,76],[1,4,31],[2,3,48],[2,4,31],[3,4,35]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,2,60],[0,3,70],[0,4,29],[1,2,96],[1,3,76],[1,4,31],[2,3,48],[2,4,31],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,2,60],[0,3,70],[0,4,29],[1,2,96],[1,3,76],[1,4,31],[2,3,48],[2,4,31],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,4)\",\"Add (2,4)\",\"Add (3,4)\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,2,60],[0,3,70],[0,4,29],[1,2,96],[1,3,76],[1,4,31],[2,3,48],[2,4,31],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=29, w=29\",\"Add (1,4)=31, w=60\",\"Add (2,4)=31, w=91\",\"Add (3,4)=35, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,2,60],[0,3,70],[0,4,29],[1,2,96],[1,3,76],[1,4,31],[2,3,48],[2,4,31],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=29 Succeeded, w=29\",\"Add (1,4)=31 Succeeded, w=60\",\"Add (2,4)=31 Succeeded, w=91\",\"Add (3,4)=35 Succeeded, w=126\",\"Add (2,3)=48 Failed, w=126\",\"Add (0,2)=60 Failed, w=126\",\"Add (0,3)=70 Failed, w=126\",\"Add (1,3)=76 Failed, w=126\",\"Add (0,1)=90 Failed, w=126\",\"Add (1,2)=96 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,2,60],[0,3,70],[0,4,29],[1,2,96],[1,3,76],[1,4,31],[2,3,48],[2,4,31],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=29,(1,4)=31,(2,4)=31,(3,4)=35,(2,3)=48,(0,2)=60,(0,3)=70,(1,3)=76,(0,1)=90,(1,2)=96]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=29 Succeeded, w=29\",\"Find(1)=1, Find(4)=0, Add (1,4)=31 Succeeded, w=60\",\"Find(2)=2, Find(4)=0, Add (2,4)=31 Succeeded, w=91\",\"Find(3)=3, Find(4)=0, Add (3,4)=35 Succeeded, w=126\",\"Find(2)=0, Find(3)=0, Add (2,3)=48 Failed, w=126\",\"Find(0)=0, Find(2)=0, Add (0,2)=60 Failed, w=126\",\"Find(0)=0, Find(3)=0, Add (0,3)=70 Failed, w=126\",\"Find(1)=0, Find(3)=0, Add (1,3)=76 Failed, w=126\",\"Find(0)=0, Find(1)=0, Add (0,1)=90 Failed, w=126\",\"Find(1)=0, Find(2)=0, Add (1,2)=96 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,90],[0,2,60],[0,3,70],[0,4,29],[1,2,96],[1,3,76],[1,4,31],[2,3,48],[2,4,31],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=29,(1,4)=31,(2,4)=31,(3,4)=35,(2,3)=48,(0,2)=60,(0,3)=70,(1,3)=76,(0,1)=90,(1,2)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=29 Succeeded, w=29\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=31 Succeeded, w=60\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(2)=2, Find(4)=0, Add (2,4)=31 Succeeded, w=91\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=3, Find(4)=0, Add (3,4)=35 Succeeded, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=48 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=60 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=70 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=76 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=90 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=96 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,90],[0,3,57],[0,4,26],[0,5,28],[1,2,14],[1,3,47],[1,4,22],[1,5,52],[2,4,92],[2,5,82],[3,4,75],[3,5,100],[4,5,22]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,90],[0,3,57],[0,4,26],[0,5,28],[1,2,14],[1,3,47],[1,4,22],[1,5,52],[2,4,92],[2,5,82],[3,4,75],[3,5,100],[4,5,22]]}",
"role": "user"
},
{
"content": "{\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,90],[0,3,57],[0,4,26],[0,5,28],[1,2,14],[1,3,47],[1,4,22],[1,5,52],[2,4,92],[2,5,82],[3,4,75],[3,5,100],[4,5,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,4)\",\"Add (4,5)\",\"Add (0,4)\",\"Add (1,3)\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,90],[0,3,57],[0,4,26],[0,5,28],[1,2,14],[1,3,47],[1,4,22],[1,5,52],[2,4,92],[2,5,82],[3,4,75],[3,5,100],[4,5,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=14, w=14\",\"Add (1,4)=22, w=36\",\"Add (4,5)=22, w=58\",\"Add (0,4)=26, w=84\",\"Add (1,3)=47, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,90],[0,3,57],[0,4,26],[0,5,28],[1,2,14],[1,3,47],[1,4,22],[1,5,52],[2,4,92],[2,5,82],[3,4,75],[3,5,100],[4,5,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=14 Succeeded, w=14\",\"Add (1,4)=22 Succeeded, w=36\",\"Add (4,5)=22 Succeeded, w=58\",\"Add (0,4)=26 Succeeded, w=84\",\"Add (0,5)=28 Failed, w=84\",\"Add (1,3)=47 Succeeded, w=131\",\"Add (1,5)=52 Failed, w=131\",\"Add (0,3)=57 Failed, w=131\",\"Add (3,4)=75 Failed, w=131\",\"Add (2,5)=82 Failed, w=131\",\"Add (0,2)=90 Failed, w=131\",\"Add (2,4)=92 Failed, w=131\",\"Add (3,5)=100 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,90],[0,3,57],[0,4,26],[0,5,28],[1,2,14],[1,3,47],[1,4,22],[1,5,52],[2,4,92],[2,5,82],[3,4,75],[3,5,100],[4,5,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=14,(1,4)=22,(4,5)=22,(0,4)=26,(0,5)=28,(1,3)=47,(1,5)=52,(0,3)=57,(3,4)=75,(2,5)=82,(0,2)=90,(2,4)=92,(3,5)=100]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=14\",\"Find(1)=1, Find(4)=4, Add (1,4)=22 Succeeded, w=36\",\"Find(4)=1, Find(5)=5, Add (4,5)=22 Succeeded, w=58\",\"Find(0)=0, Find(4)=1, Add (0,4)=26 Succeeded, w=84\",\"Find(0)=1, Find(5)=1, Add (0,5)=28 Failed, w=84\",\"Find(1)=1, Find(3)=3, Add (1,3)=47 Succeeded, w=131\",\"Find(1)=1, Find(5)=1, Add (1,5)=52 Failed, w=131\",\"Find(0)=1, Find(3)=1, Add (0,3)=57 Failed, w=131\",\"Find(3)=1, Find(4)=1, Add (3,4)=75 Failed, w=131\",\"Find(2)=1, Find(5)=1, Add (2,5)=82 Failed, w=131\",\"Find(0)=1, Find(2)=1, Add (0,2)=90 Failed, w=131\",\"Find(2)=1, Find(4)=1, Add (2,4)=92 Failed, w=131\",\"Find(3)=1, Find(5)=1, Add (3,5)=100 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,90],[0,3,57],[0,4,26],[0,5,28],[1,2,14],[1,3,47],[1,4,22],[1,5,52],[2,4,92],[2,5,82],[3,4,75],[3,5,100],[4,5,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=14,(1,4)=22,(4,5)=22,(0,4)=26,(0,5)=28,(1,3)=47,(1,5)=52,(0,3)=57,(3,4)=75,(2,5)=82,(0,2)=90,(2,4)=92,(3,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5}, Find(1)=1, Find(2)=2, Add (1,2)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=22 Succeeded, w=36\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1}, Find(4)=1, Find(5)=5, Add (4,5)=22 Succeeded, w=58\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1}, Find(0)=0, Find(4)=1, Add (0,4)=26 Succeeded, w=84\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=28 Failed, w=84\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(3)=3, Add (1,3)=47 Succeeded, w=131\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(5)=1, Add (1,5)=52 Failed, w=131\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(3)=1, Add (0,3)=57 Failed, w=131\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=75 Failed, w=131\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=82 Failed, w=131\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=90 Failed, w=131\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=92 Failed, w=131\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=100 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,56],[0,4,93],[1,2,99],[1,3,72],[1,4,97],[2,3,51],[3,4,22]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,56],[0,4,93],[1,2,99],[1,3,72],[1,4,97],[2,3,51],[3,4,22]]}",
"role": "user"
},
{
"content": "{\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,56],[0,4,93],[1,2,99],[1,3,72],[1,4,97],[2,3,51],[3,4,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (2,3)\",\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,56],[0,4,93],[1,2,99],[1,3,72],[1,4,97],[2,3,51],[3,4,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=22, w=22\",\"Add (2,3)=51, w=73\",\"Add (0,2)=56, w=129\",\"Add (1,3)=72, w=201\"],\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,56],[0,4,93],[1,2,99],[1,3,72],[1,4,97],[2,3,51],[3,4,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=22 Succeeded, w=22\",\"Add (2,3)=51 Succeeded, w=73\",\"Add (0,2)=56 Succeeded, w=129\",\"Add (1,3)=72 Succeeded, w=201\",\"Add (0,4)=93 Failed, w=201\",\"Add (1,4)=97 Failed, w=201\",\"Add (1,2)=99 Failed, w=201\"],\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,56],[0,4,93],[1,2,99],[1,3,72],[1,4,97],[2,3,51],[3,4,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=22,(2,3)=51,(0,2)=56,(1,3)=72,(0,4)=93,(1,4)=97,(1,2)=99]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=22 Succeeded, w=22\",\"Find(2)=2, Find(3)=3, Add (2,3)=51 Succeeded, w=73\",\"Find(0)=0, Find(2)=3, Add (0,2)=56 Succeeded, w=129\",\"Find(1)=1, Find(3)=3, Add (1,3)=72 Succeeded, w=201\",\"Find(0)=3, Find(4)=3, Add (0,4)=93 Failed, w=201\",\"Find(1)=3, Find(4)=3, Add (1,4)=97 Failed, w=201\",\"Find(1)=3, Find(2)=3, Add (1,2)=99 Failed, w=201\"],\"Answer\":201}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,56],[0,4,93],[1,2,99],[1,3,72],[1,4,97],[2,3,51],[3,4,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=22,(2,3)=51,(0,2)=56,(1,3)=72,(0,4)=93,(1,4)=97,(1,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=22 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3}, Find(2)=2, Find(3)=3, Add (2,3)=51 Succeeded, w=73\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3}, Find(0)=0, Find(2)=3, Add (0,2)=56 Succeeded, w=129\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=1, Find(3)=3, Add (1,3)=72 Succeeded, w=201\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(4)=3, Add (0,4)=93 Failed, w=201\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(4)=3, Add (1,4)=97 Failed, w=201\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(2)=3, Add (1,2)=99 Failed, w=201\"],\"Answer\":201}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,46],[0,2,98],[0,4,15],[0,6,53],[1,2,0],[1,3,38],[1,4,90],[1,5,17],[2,4,19],[2,5,26],[2,6,84],[3,4,58],[3,5,59],[4,5,16],[5,6,36]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,46],[0,2,98],[0,4,15],[0,6,53],[1,2,0],[1,3,38],[1,4,90],[1,5,17],[2,4,19],[2,5,26],[2,6,84],[3,4,58],[3,5,59],[4,5,16],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,46],[0,2,98],[0,4,15],[0,6,53],[1,2,0],[1,3,38],[1,4,90],[1,5,17],[2,4,19],[2,5,26],[2,6,84],[3,4,58],[3,5,59],[4,5,16],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,4)\",\"Add (4,5)\",\"Add (1,5)\",\"Add (5,6)\",\"Add (1,3)\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,46],[0,2,98],[0,4,15],[0,6,53],[1,2,0],[1,3,38],[1,4,90],[1,5,17],[2,4,19],[2,5,26],[2,6,84],[3,4,58],[3,5,59],[4,5,16],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0, w=0\",\"Add (0,4)=15, w=15\",\"Add (4,5)=16, w=31\",\"Add (1,5)=17, w=48\",\"Add (5,6)=36, w=84\",\"Add (1,3)=38, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,46],[0,2,98],[0,4,15],[0,6,53],[1,2,0],[1,3,38],[1,4,90],[1,5,17],[2,4,19],[2,5,26],[2,6,84],[3,4,58],[3,5,59],[4,5,16],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0 Succeeded, w=0\",\"Add (0,4)=15 Succeeded, w=15\",\"Add (4,5)=16 Succeeded, w=31\",\"Add (1,5)=17 Succeeded, w=48\",\"Add (2,4)=19 Failed, w=48\",\"Add (2,5)=26 Failed, w=48\",\"Add (5,6)=36 Succeeded, w=84\",\"Add (1,3)=38 Succeeded, w=122\",\"Add (0,1)=46 Failed, w=122\",\"Add (0,6)=53 Failed, w=122\",\"Add (3,4)=58 Failed, w=122\",\"Add (3,5)=59 Failed, w=122\",\"Add (2,6)=84 Failed, w=122\",\"Add (1,4)=90 Failed, w=122\",\"Add (0,2)=98 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,46],[0,2,98],[0,4,15],[0,6,53],[1,2,0],[1,3,38],[1,4,90],[1,5,17],[2,4,19],[2,5,26],[2,6,84],[3,4,58],[3,5,59],[4,5,16],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(0,4)=15,(4,5)=16,(1,5)=17,(2,4)=19,(2,5)=26,(5,6)=36,(1,3)=38,(0,1)=46,(0,6)=53,(3,4)=58,(3,5)=59,(2,6)=84,(1,4)=90,(0,2)=98]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Find(0)=0, Find(4)=4, Add (0,4)=15 Succeeded, w=15\",\"Find(4)=0, Find(5)=5, Add (4,5)=16 Succeeded, w=31\",\"Find(1)=1, Find(5)=0, Add (1,5)=17 Succeeded, w=48\",\"Find(2)=1, Find(4)=1, Add (2,4)=19 Failed, w=48\",\"Find(2)=1, Find(5)=1, Add (2,5)=26 Failed, w=48\",\"Find(5)=1, Find(6)=6, Add (5,6)=36 Succeeded, w=84\",\"Find(1)=1, Find(3)=3, Add (1,3)=38 Succeeded, w=122\",\"Find(0)=1, Find(1)=1, Add (0,1)=46 Failed, w=122\",\"Find(0)=1, Find(6)=1, Add (0,6)=53 Failed, w=122\",\"Find(3)=1, Find(4)=1, Add (3,4)=58 Failed, w=122\",\"Find(3)=1, Find(5)=1, Add (3,5)=59 Failed, w=122\",\"Find(2)=1, Find(6)=1, Add (2,6)=84 Failed, w=122\",\"Find(1)=1, Find(4)=1, Add (1,4)=90 Failed, w=122\",\"Find(0)=1, Find(2)=1, Add (0,2)=98 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,46],[0,2,98],[0,4,15],[0,6,53],[1,2,0],[1,3,38],[1,4,90],[1,5,17],[2,4,19],[2,5,26],[2,6,84],[3,4,58],[3,5,59],[4,5,16],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(0,4)=15,(4,5)=16,(1,5)=17,(2,4)=19,(2,5)=26,(5,6)=36,(1,3)=38,(0,1)=46,(0,6)=53,(3,4)=58,(3,5)=59,(2,6)=84,(1,4)=90,(0,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 0, 6: 6}, Find(4)=0, Find(5)=5, Add (4,5)=16 Succeeded, w=31\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 0, 5: 0, 6: 6}, Find(1)=1, Find(5)=0, Add (1,5)=17 Succeeded, w=48\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 0, 6: 6}, Find(2)=1, Find(4)=1, Add (2,4)=19 Failed, w=48\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 6}, Find(2)=1, Find(5)=1, Add (2,5)=26 Failed, w=48\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=6, Add (5,6)=36 Succeeded, w=84\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=3, Add (1,3)=38 Succeeded, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=46 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=53 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=58 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=59 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=84 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=90 Failed, w=122\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=98 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,13],[0,2,44],[0,4,98],[0,5,79],[1,5,100],[2,3,63],[2,4,39],[2,5,54],[3,4,4],[3,5,51],[4,5,57]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,44],[0,4,98],[0,5,79],[1,5,100],[2,3,63],[2,4,39],[2,5,54],[3,4,4],[3,5,51],[4,5,57]]}",
"role": "user"
},
{
"content": "{\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,44],[0,4,98],[0,5,79],[1,5,100],[2,3,63],[2,4,39],[2,5,54],[3,4,4],[3,5,51],[4,5,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (0,1)\",\"Add (2,4)\",\"Add (0,2)\",\"Add (3,5)\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,44],[0,4,98],[0,5,79],[1,5,100],[2,3,63],[2,4,39],[2,5,54],[3,4,4],[3,5,51],[4,5,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=4, w=4\",\"Add (0,1)=13, w=17\",\"Add (2,4)=39, w=56\",\"Add (0,2)=44, w=100\",\"Add (3,5)=51, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,44],[0,4,98],[0,5,79],[1,5,100],[2,3,63],[2,4,39],[2,5,54],[3,4,4],[3,5,51],[4,5,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=4 Succeeded, w=4\",\"Add (0,1)=13 Succeeded, w=17\",\"Add (2,4)=39 Succeeded, w=56\",\"Add (0,2)=44 Succeeded, w=100\",\"Add (3,5)=51 Succeeded, w=151\",\"Add (2,5)=54 Failed, w=151\",\"Add (4,5)=57 Failed, w=151\",\"Add (2,3)=63 Failed, w=151\",\"Add (0,5)=79 Failed, w=151\",\"Add (0,4)=98 Failed, w=151\",\"Add (1,5)=100 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,44],[0,4,98],[0,5,79],[1,5,100],[2,3,63],[2,4,39],[2,5,54],[3,4,4],[3,5,51],[4,5,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=4,(0,1)=13,(2,4)=39,(0,2)=44,(3,5)=51,(2,5)=54,(4,5)=57,(2,3)=63,(0,5)=79,(0,4)=98,(1,5)=100]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=4 Succeeded, w=4\",\"Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=17\",\"Find(2)=2, Find(4)=3, Add (2,4)=39 Succeeded, w=56\",\"Find(0)=0, Find(2)=3, Add (0,2)=44 Succeeded, w=100\",\"Find(3)=0, Find(5)=5, Add (3,5)=51 Succeeded, w=151\",\"Find(2)=0, Find(5)=0, Add (2,5)=54 Failed, w=151\",\"Find(4)=0, Find(5)=0, Add (4,5)=57 Failed, w=151\",\"Find(2)=0, Find(3)=0, Add (2,3)=63 Failed, w=151\",\"Find(0)=0, Find(5)=0, Add (0,5)=79 Failed, w=151\",\"Find(0)=0, Find(4)=0, Add (0,4)=98 Failed, w=151\",\"Find(1)=0, Find(5)=0, Add (1,5)=100 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,13],[0,2,44],[0,4,98],[0,5,79],[1,5,100],[2,3,63],[2,4,39],[2,5,54],[3,4,4],[3,5,51],[4,5,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=4,(0,1)=13,(2,4)=39,(0,2)=44,(3,5)=51,(2,5)=54,(4,5)=57,(2,3)=63,(0,5)=79,(0,4)=98,(1,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 3, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=13 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3, 5: 5}, Find(2)=2, Find(4)=3, Add (2,4)=39 Succeeded, w=56\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 3, 5: 5}, Find(0)=0, Find(2)=3, Add (0,2)=44 Succeeded, w=100\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 3, 5: 0}, Find(3)=0, Find(5)=5, Add (3,5)=51 Succeeded, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=54 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=57 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=63 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=79 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=98 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=100 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,12],[0,2,84],[0,3,53],[0,4,26],[0,5,42],[0,6,43],[0,7,60],[1,2,55],[1,3,69],[1,4,81],[1,5,60],[1,6,86],[1,7,49],[2,3,90],[2,4,0],[2,5,71],[2,6,40],[2,7,95],[3,4,93],[3,7,92],[4,5,51],[4,6,93],[4,7,89],[5,6,13],[5,7,13],[6,7,66]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,84],[0,3,53],[0,4,26],[0,5,42],[0,6,43],[0,7,60],[1,2,55],[1,3,69],[1,4,81],[1,5,60],[1,6,86],[1,7,49],[2,3,90],[2,4,0],[2,5,71],[2,6,40],[2,7,95],[3,4,93],[3,7,92],[4,5,51],[4,6,93],[4,7,89],[5,6,13],[5,7,13],[6,7,66]]}",
"role": "user"
},
{
"content": "{\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,84],[0,3,53],[0,4,26],[0,5,42],[0,6,43],[0,7,60],[1,2,55],[1,3,69],[1,4,81],[1,5,60],[1,6,86],[1,7,49],[2,3,90],[2,4,0],[2,5,71],[2,6,40],[2,7,95],[3,4,93],[3,7,92],[4,5,51],[4,6,93],[4,7,89],[5,6,13],[5,7,13],[6,7,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,1)\",\"Add (5,6)\",\"Add (5,7)\",\"Add (0,4)\",\"Add (2,6)\",\"Add (0,3)\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,84],[0,3,53],[0,4,26],[0,5,42],[0,6,43],[0,7,60],[1,2,55],[1,3,69],[1,4,81],[1,5,60],[1,6,86],[1,7,49],[2,3,90],[2,4,0],[2,5,71],[2,6,40],[2,7,95],[3,4,93],[3,7,92],[4,5,51],[4,6,93],[4,7,89],[5,6,13],[5,7,13],[6,7,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=0, w=0\",\"Add (0,1)=12, w=12\",\"Add (5,6)=13, w=25\",\"Add (5,7)=13, w=38\",\"Add (0,4)=26, w=64\",\"Add (2,6)=40, w=104\",\"Add (0,3)=53, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,84],[0,3,53],[0,4,26],[0,5,42],[0,6,43],[0,7,60],[1,2,55],[1,3,69],[1,4,81],[1,5,60],[1,6,86],[1,7,49],[2,3,90],[2,4,0],[2,5,71],[2,6,40],[2,7,95],[3,4,93],[3,7,92],[4,5,51],[4,6,93],[4,7,89],[5,6,13],[5,7,13],[6,7,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=0 Succeeded, w=0\",\"Add (0,1)=12 Succeeded, w=12\",\"Add (5,6)=13 Succeeded, w=25\",\"Add (5,7)=13 Succeeded, w=38\",\"Add (0,4)=26 Succeeded, w=64\",\"Add (2,6)=40 Succeeded, w=104\",\"Add (0,5)=42 Failed, w=104\",\"Add (0,6)=43 Failed, w=104\",\"Add (1,7)=49 Failed, w=104\",\"Add (4,5)=51 Failed, w=104\",\"Add (0,3)=53 Succeeded, w=157\",\"Add (1,2)=55 Failed, w=157\",\"Add (0,7)=60 Failed, w=157\",\"Add (1,5)=60 Failed, w=157\",\"Add (6,7)=66 Failed, w=157\",\"Add (1,3)=69 Failed, w=157\",\"Add (2,5)=71 Failed, w=157\",\"Add (1,4)=81 Failed, w=157\",\"Add (0,2)=84 Failed, w=157\",\"Add (1,6)=86 Failed, w=157\",\"Add (4,7)=89 Failed, w=157\",\"Add (2,3)=90 Failed, w=157\",\"Add (3,7)=92 Failed, w=157\",\"Add (3,4)=93 Failed, w=157\",\"Add (4,6)=93 Failed, w=157\",\"Add (2,7)=95 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,84],[0,3,53],[0,4,26],[0,5,42],[0,6,43],[0,7,60],[1,2,55],[1,3,69],[1,4,81],[1,5,60],[1,6,86],[1,7,49],[2,3,90],[2,4,0],[2,5,71],[2,6,40],[2,7,95],[3,4,93],[3,7,92],[4,5,51],[4,6,93],[4,7,89],[5,6,13],[5,7,13],[6,7,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=0,(0,1)=12,(5,6)=13,(5,7)=13,(0,4)=26,(2,6)=40,(0,5)=42,(0,6)=43,(1,7)=49,(4,5)=51,(0,3)=53,(1,2)=55,(0,7)=60,(1,5)=60,(6,7)=66,(1,3)=69,(2,5)=71,(1,4)=81,(0,2)=84,(1,6)=86,(4,7)=89,(2,3)=90,(3,7)=92,(3,4)=93,(4,6)=93,(2,7)=95]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=0 Succeeded, w=0\",\"Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=12\",\"Find(5)=5, Find(6)=6, Add (5,6)=13 Succeeded, w=25\",\"Find(5)=5, Find(7)=7, Add (5,7)=13 Succeeded, w=38\",\"Find(0)=0, Find(4)=2, Add (0,4)=26 Succeeded, w=64\",\"Find(2)=0, Find(6)=5, Add (2,6)=40 Succeeded, w=104\",\"Find(0)=0, Find(5)=0, Add (0,5)=42 Failed, w=104\",\"Find(0)=0, Find(6)=0, Add (0,6)=43 Failed, w=104\",\"Find(1)=0, Find(7)=0, Add (1,7)=49 Failed, w=104\",\"Find(4)=0, Find(5)=0, Add (4,5)=51 Failed, w=104\",\"Find(0)=0, Find(3)=3, Add (0,3)=53 Succeeded, w=157\",\"Find(1)=0, Find(2)=0, Add (1,2)=55 Failed, w=157\",\"Find(0)=0, Find(7)=0, Add (0,7)=60 Failed, w=157\",\"Find(1)=0, Find(5)=0, Add (1,5)=60 Failed, w=157\",\"Find(6)=0, Find(7)=0, Add (6,7)=66 Failed, w=157\",\"Find(1)=0, Find(3)=0, Add (1,3)=69 Failed, w=157\",\"Find(2)=0, Find(5)=0, Add (2,5)=71 Failed, w=157\",\"Find(1)=0, Find(4)=0, Add (1,4)=81 Failed, w=157\",\"Find(0)=0, Find(2)=0, Add (0,2)=84 Failed, w=157\",\"Find(1)=0, Find(6)=0, Add (1,6)=86 Failed, w=157\",\"Find(4)=0, Find(7)=0, Add (4,7)=89 Failed, w=157\",\"Find(2)=0, Find(3)=0, Add (2,3)=90 Failed, w=157\",\"Find(3)=0, Find(7)=0, Add (3,7)=92 Failed, w=157\",\"Find(3)=0, Find(4)=0, Add (3,4)=93 Failed, w=157\",\"Find(4)=0, Find(6)=0, Add (4,6)=93 Failed, w=157\",\"Find(2)=0, Find(7)=0, Add (2,7)=95 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,12],[0,2,84],[0,3,53],[0,4,26],[0,5,42],[0,6,43],[0,7,60],[1,2,55],[1,3,69],[1,4,81],[1,5,60],[1,6,86],[1,7,49],[2,3,90],[2,4,0],[2,5,71],[2,6,40],[2,7,95],[3,4,93],[3,7,92],[4,5,51],[4,6,93],[4,7,89],[5,6,13],[5,7,13],[6,7,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=0,(0,1)=12,(5,6)=13,(5,7)=13,(0,4)=26,(2,6)=40,(0,5)=42,(0,6)=43,(1,7)=49,(4,5)=51,(0,3)=53,(1,2)=55,(0,7)=60,(1,5)=60,(6,7)=66,(1,3)=69,(2,5)=71,(1,4)=81,(0,2)=84,(1,6)=86,(4,7)=89,(2,3)=90,(3,7)=92,(3,4)=93,(4,6)=93,(2,7)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 5, 6: 5, 7: 7}, Find(5)=5, Find(6)=6, Add (5,6)=13 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2, 5: 5, 6: 5, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=13 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2, 5: 5, 6: 5, 7: 5}, Find(0)=0, Find(4)=2, Add (0,4)=26 Succeeded, w=64\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2, 5: 0, 6: 5, 7: 5}, Find(2)=0, Find(6)=5, Add (2,6)=40 Succeeded, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2, 5: 0, 6: 5, 7: 5}, Find(0)=0, Find(5)=0, Add (0,5)=42 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2, 5: 0, 6: 0, 7: 5}, Find(0)=0, Find(6)=0, Add (0,6)=43 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 2, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=49 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=51 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(3)=3, Add (0,3)=53 Succeeded, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=55 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=60 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=60 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=66 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=69 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=71 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(4)=0, Add (1,4)=81 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=84 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=86 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=89 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=90 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=92 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(4)=0, Add (3,4)=93 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=93 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=95 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[1,2,75],[2,3,79]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,75],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,75],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,75],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=75, w=75\",\"Add (2,3)=79, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,75],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=75 Succeeded, w=75\",\"Add (2,3)=79 Succeeded, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,75],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=75,(2,3)=79]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=75 Succeeded, w=75\",\"Find(2)=1, Find(3)=3, Add (2,3)=79 Succeeded, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[1,2,75],[2,3,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=75,(2,3)=79]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=75 Succeeded, w=75\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=3, Add (2,3)=79 Succeeded, w=154\"],\"Answer\":154}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,6],[0,2,86],[0,3,37],[1,2,26],[1,3,60],[2,4,53]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,2,86],[0,3,37],[1,2,26],[1,3,60],[2,4,53]]}",
"role": "user"
},
{
"content": "{\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,2,86],[0,3,37],[1,2,26],[1,3,60],[2,4,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,2)\",\"Add (0,3)\",\"Add (2,4)\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,2,86],[0,3,37],[1,2,26],[1,3,60],[2,4,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=6, w=6\",\"Add (1,2)=26, w=32\",\"Add (0,3)=37, w=69\",\"Add (2,4)=53, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,2,86],[0,3,37],[1,2,26],[1,3,60],[2,4,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=6 Succeeded, w=6\",\"Add (1,2)=26 Succeeded, w=32\",\"Add (0,3)=37 Succeeded, w=69\",\"Add (2,4)=53 Succeeded, w=122\",\"Add (1,3)=60 Failed, w=122\",\"Add (0,2)=86 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,2,86],[0,3,37],[1,2,26],[1,3,60],[2,4,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=6,(1,2)=26,(0,3)=37,(2,4)=53,(1,3)=60,(0,2)=86]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=6\",\"Find(1)=0, Find(2)=2, Add (1,2)=26 Succeeded, w=32\",\"Find(0)=0, Find(3)=3, Add (0,3)=37 Succeeded, w=69\",\"Find(2)=0, Find(4)=4, Add (2,4)=53 Succeeded, w=122\",\"Find(1)=0, Find(3)=0, Add (1,3)=60 Failed, w=122\",\"Find(0)=0, Find(2)=0, Add (0,2)=86 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,6],[0,2,86],[0,3,37],[1,2,26],[1,3,60],[2,4,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=6,(1,2)=26,(0,3)=37,(2,4)=53,(1,3)=60,(0,2)=86]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(1)=0, Find(2)=2, Add (1,2)=26 Succeeded, w=32\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=37 Succeeded, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=4, Add (2,4)=53 Succeeded, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=60 Failed, w=122\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=86 Failed, w=122\"],\"Answer\":122}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,34],[0,2,9],[0,3,54],[1,2,87],[1,3,38],[2,3,91]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,2,9],[0,3,54],[1,2,87],[1,3,38],[2,3,91]]}",
"role": "user"
},
{
"content": "{\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,2,9],[0,3,54],[1,2,87],[1,3,38],[2,3,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,2,9],[0,3,54],[1,2,87],[1,3,38],[2,3,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=9, w=9\",\"Add (0,1)=34, w=43\",\"Add (1,3)=38, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,2,9],[0,3,54],[1,2,87],[1,3,38],[2,3,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=9 Succeeded, w=9\",\"Add (0,1)=34 Succeeded, w=43\",\"Add (1,3)=38 Succeeded, w=81\",\"Add (0,3)=54 Failed, w=81\",\"Add (1,2)=87 Failed, w=81\",\"Add (2,3)=91 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,2,9],[0,3,54],[1,2,87],[1,3,38],[2,3,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=9,(0,1)=34,(1,3)=38,(0,3)=54,(1,2)=87,(2,3)=91]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=9\",\"Find(0)=0, Find(1)=1, Add (0,1)=34 Succeeded, w=43\",\"Find(1)=0, Find(3)=3, Add (1,3)=38 Succeeded, w=81\",\"Find(0)=0, Find(3)=0, Add (0,3)=54 Failed, w=81\",\"Find(1)=0, Find(2)=0, Add (1,2)=87 Failed, w=81\",\"Find(2)=0, Find(3)=0, Add (2,3)=91 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,34],[0,2,9],[0,3,54],[1,2,87],[1,3,38],[2,3,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=9,(0,1)=34,(1,3)=38,(0,3)=54,(1,2)=87,(2,3)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=34 Succeeded, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=38 Succeeded, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(3)=0, Add (0,3)=54 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=87 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=91 Failed, w=81\"],\"Answer\":81}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,2,77],[0,3,45],[0,4,92],[0,5,16],[0,6,26],[1,3,83],[1,4,19],[1,5,49],[2,5,53],[3,5,27],[3,6,11],[3,7,59],[4,6,8],[4,7,22],[5,6,23],[6,7,94]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,77],[0,3,45],[0,4,92],[0,5,16],[0,6,26],[1,3,83],[1,4,19],[1,5,49],[2,5,53],[3,5,27],[3,6,11],[3,7,59],[4,6,8],[4,7,22],[5,6,23],[6,7,94]]}",
"role": "user"
},
{
"content": "{\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,77],[0,3,45],[0,4,92],[0,5,16],[0,6,26],[1,3,83],[1,4,19],[1,5,49],[2,5,53],[3,5,27],[3,6,11],[3,7,59],[4,6,8],[4,7,22],[5,6,23],[6,7,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (3,6)\",\"Add (0,5)\",\"Add (1,4)\",\"Add (4,7)\",\"Add (5,6)\",\"Add (2,5)\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,77],[0,3,45],[0,4,92],[0,5,16],[0,6,26],[1,3,83],[1,4,19],[1,5,49],[2,5,53],[3,5,27],[3,6,11],[3,7,59],[4,6,8],[4,7,22],[5,6,23],[6,7,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=8, w=8\",\"Add (3,6)=11, w=19\",\"Add (0,5)=16, w=35\",\"Add (1,4)=19, w=54\",\"Add (4,7)=22, w=76\",\"Add (5,6)=23, w=99\",\"Add (2,5)=53, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,77],[0,3,45],[0,4,92],[0,5,16],[0,6,26],[1,3,83],[1,4,19],[1,5,49],[2,5,53],[3,5,27],[3,6,11],[3,7,59],[4,6,8],[4,7,22],[5,6,23],[6,7,94]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=8 Succeeded, w=8\",\"Add (3,6)=11 Succeeded, w=19\",\"Add (0,5)=16 Succeeded, w=35\",\"Add (1,4)=19 Succeeded, w=54\",\"Add (4,7)=22 Succeeded, w=76\",\"Add (5,6)=23 Succeeded, w=99\",\"Add (0,6)=26 Failed, w=99\",\"Add (3,5)=27 Failed, w=99\",\"Add (0,3)=45 Failed, w=99\",\"Add (1,5)=49 Failed, w=99\",\"Add (2,5)=53 Succeeded, w=152\",\"Add (3,7)=59 Failed, w=152\",\"Add (0,2)=77 Failed, w=152\",\"Add (1,3)=83 Failed, w=152\",\"Add (0,4)=92 Failed, w=152\",\"Add (6,7)=94 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,77],[0,3,45],[0,4,92],[0,5,16],[0,6,26],[1,3,83],[1,4,19],[1,5,49],[2,5,53],[3,5,27],[3,6,11],[3,7,59],[4,6,8],[4,7,22],[5,6,23],[6,7,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=8,(3,6)=11,(0,5)=16,(1,4)=19,(4,7)=22,(5,6)=23,(0,6)=26,(3,5)=27,(0,3)=45,(1,5)=49,(2,5)=53,(3,7)=59,(0,2)=77,(1,3)=83,(0,4)=92,(6,7)=94]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=8 Succeeded, w=8\",\"Find(3)=3, Find(6)=4, Add (3,6)=11 Succeeded, w=19\",\"Find(0)=0, Find(5)=5, Add (0,5)=16 Succeeded, w=35\",\"Find(1)=1, Find(4)=4, Add (1,4)=19 Succeeded, w=54\",\"Find(4)=4, Find(7)=7, Add (4,7)=22 Succeeded, w=76\",\"Find(5)=0, Find(6)=4, Add (5,6)=23 Succeeded, w=99\",\"Find(0)=0, Find(6)=0, Add (0,6)=26 Failed, w=99\",\"Find(3)=0, Find(5)=0, Add (3,5)=27 Failed, w=99\",\"Find(0)=0, Find(3)=0, Add (0,3)=45 Failed, w=99\",\"Find(1)=0, Find(5)=0, Add (1,5)=49 Failed, w=99\",\"Find(2)=2, Find(5)=0, Add (2,5)=53 Succeeded, w=152\",\"Find(3)=0, Find(7)=0, Add (3,7)=59 Failed, w=152\",\"Find(0)=0, Find(2)=0, Add (0,2)=77 Failed, w=152\",\"Find(1)=0, Find(3)=0, Add (1,3)=83 Failed, w=152\",\"Find(0)=0, Find(4)=0, Add (0,4)=92 Failed, w=152\",\"Find(6)=0, Find(7)=0, Add (6,7)=94 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,2,77],[0,3,45],[0,4,92],[0,5,16],[0,6,26],[1,3,83],[1,4,19],[1,5,49],[2,5,53],[3,5,27],[3,6,11],[3,7,59],[4,6,8],[4,7,22],[5,6,23],[6,7,94]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=8,(3,6)=11,(0,5)=16,(1,4)=19,(4,7)=22,(5,6)=23,(0,6)=26,(3,5)=27,(0,3)=45,(1,5)=49,(2,5)=53,(3,7)=59,(0,2)=77,(1,3)=83,(0,4)=92,(6,7)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4, 7: 7}, Find(4)=4, Find(6)=6, Add (4,6)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 5, 6: 4, 7: 7}, Find(3)=3, Find(6)=4, Add (3,6)=11 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 4, 4: 4, 5: 0, 6: 4, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=16 Succeeded, w=35\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 4, 4: 4, 5: 0, 6: 4, 7: 7}, Find(1)=1, Find(4)=4, Add (1,4)=19 Succeeded, w=54\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 4, 4: 4, 5: 0, 6: 4, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=22 Succeeded, w=76\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 4, 4: 0, 5: 0, 6: 4, 7: 4}, Find(5)=0, Find(6)=4, Add (5,6)=23 Succeeded, w=99\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 4, 4: 0, 5: 0, 6: 0, 7: 4}, Find(0)=0, Find(6)=0, Add (0,6)=26 Failed, w=99\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 4}, Find(3)=0, Find(5)=0, Add (3,5)=27 Failed, w=99\",\"Parent: {0: 0, 1: 4, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 4}, Find(0)=0, Find(3)=0, Add (0,3)=45 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 4}, Find(1)=0, Find(5)=0, Add (1,5)=49 Failed, w=99\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 4}, Find(2)=2, Find(5)=0, Add (2,5)=53 Succeeded, w=152\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=59 Failed, w=152\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=77 Failed, w=152\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=83 Failed, w=152\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=92 Failed, w=152\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=94 Failed, w=152\"],\"Answer\":152}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,68],[0,2,31],[0,3,63],[0,4,71],[2,4,96],[3,4,50]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,68],[0,2,31],[0,3,63],[0,4,71],[2,4,96],[3,4,50]]}",
"role": "user"
},
{
"content": "{\"Answer\":212}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,68],[0,2,31],[0,3,63],[0,4,71],[2,4,96],[3,4,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (3,4)\",\"Add (0,3)\",\"Add (0,1)\"],\"Answer\":212}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,68],[0,2,31],[0,3,63],[0,4,71],[2,4,96],[3,4,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=31, w=31\",\"Add (3,4)=50, w=81\",\"Add (0,3)=63, w=144\",\"Add (0,1)=68, w=212\"],\"Answer\":212}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,68],[0,2,31],[0,3,63],[0,4,71],[2,4,96],[3,4,50]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=31 Succeeded, w=31\",\"Add (3,4)=50 Succeeded, w=81\",\"Add (0,3)=63 Succeeded, w=144\",\"Add (0,1)=68 Succeeded, w=212\",\"Add (0,4)=71 Failed, w=212\",\"Add (2,4)=96 Failed, w=212\"],\"Answer\":212}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,68],[0,2,31],[0,3,63],[0,4,71],[2,4,96],[3,4,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=31,(3,4)=50,(0,3)=63,(0,1)=68,(0,4)=71,(2,4)=96]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=31 Succeeded, w=31\",\"Find(3)=3, Find(4)=4, Add (3,4)=50 Succeeded, w=81\",\"Find(0)=0, Find(3)=3, Add (0,3)=63 Succeeded, w=144\",\"Find(0)=0, Find(1)=1, Add (0,1)=68 Succeeded, w=212\",\"Find(0)=0, Find(4)=0, Add (0,4)=71 Failed, w=212\",\"Find(2)=0, Find(4)=0, Add (2,4)=96 Failed, w=212\"],\"Answer\":212}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,68],[0,2,31],[0,3,63],[0,4,71],[2,4,96],[3,4,50]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=31,(3,4)=50,(0,3)=63,(0,1)=68,(0,4)=71,(2,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=31 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=50 Succeeded, w=81\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(3)=3, Add (0,3)=63 Succeeded, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(1)=1, Add (0,1)=68 Succeeded, w=212\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=71 Failed, w=212\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=96 Failed, w=212\"],\"Answer\":212}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,73],[0,3,87],[1,2,12],[2,3,90]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,73],[0,3,87],[1,2,12],[2,3,90]]}",
"role": "user"
},
{
"content": "{\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,73],[0,3,87],[1,2,12],[2,3,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,2)\",\"Add (0,3)\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,73],[0,3,87],[1,2,12],[2,3,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=12, w=12\",\"Add (0,2)=73, w=85\",\"Add (0,3)=87, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,73],[0,3,87],[1,2,12],[2,3,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=12 Succeeded, w=12\",\"Add (0,2)=73 Succeeded, w=85\",\"Add (0,3)=87 Succeeded, w=172\",\"Add (2,3)=90 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,73],[0,3,87],[1,2,12],[2,3,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=12,(0,2)=73,(0,3)=87,(2,3)=90]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=12\",\"Find(0)=0, Find(2)=1, Add (0,2)=73 Succeeded, w=85\",\"Find(0)=1, Find(3)=3, Add (0,3)=87 Succeeded, w=172\",\"Find(2)=1, Find(3)=1, Add (2,3)=90 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,73],[0,3,87],[1,2,12],[2,3,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=12,(0,2)=73,(0,3)=87,(2,3)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=12\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(2)=1, Add (0,2)=73 Succeeded, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=3, Add (0,3)=87 Succeeded, w=172\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=90 Failed, w=172\"],\"Answer\":172}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,80],[0,2,92],[0,3,93],[0,4,97],[1,2,92],[1,3,96],[1,4,18],[2,3,75],[2,4,27],[3,4,15]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,92],[0,3,93],[0,4,97],[1,2,92],[1,3,96],[1,4,18],[2,3,75],[2,4,27],[3,4,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,92],[0,3,93],[0,4,97],[1,2,92],[1,3,96],[1,4,18],[2,3,75],[2,4,27],[3,4,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,4)\",\"Add (2,4)\",\"Add (0,1)\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,92],[0,3,93],[0,4,97],[1,2,92],[1,3,96],[1,4,18],[2,3,75],[2,4,27],[3,4,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=15, w=15\",\"Add (1,4)=18, w=33\",\"Add (2,4)=27, w=60\",\"Add (0,1)=80, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,92],[0,3,93],[0,4,97],[1,2,92],[1,3,96],[1,4,18],[2,3,75],[2,4,27],[3,4,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=15 Succeeded, w=15\",\"Add (1,4)=18 Succeeded, w=33\",\"Add (2,4)=27 Succeeded, w=60\",\"Add (2,3)=75 Failed, w=60\",\"Add (0,1)=80 Succeeded, w=140\",\"Add (0,2)=92 Failed, w=140\",\"Add (1,2)=92 Failed, w=140\",\"Add (0,3)=93 Failed, w=140\",\"Add (1,3)=96 Failed, w=140\",\"Add (0,4)=97 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,92],[0,3,93],[0,4,97],[1,2,92],[1,3,96],[1,4,18],[2,3,75],[2,4,27],[3,4,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=15,(1,4)=18,(2,4)=27,(2,3)=75,(0,1)=80,(0,2)=92,(1,2)=92,(0,3)=93,(1,3)=96,(0,4)=97]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=15 Succeeded, w=15\",\"Find(1)=1, Find(4)=3, Add (1,4)=18 Succeeded, w=33\",\"Find(2)=2, Find(4)=3, Add (2,4)=27 Succeeded, w=60\",\"Find(2)=3, Find(3)=3, Add (2,3)=75 Failed, w=60\",\"Find(0)=0, Find(1)=3, Add (0,1)=80 Succeeded, w=140\",\"Find(0)=3, Find(2)=3, Add (0,2)=92 Failed, w=140\",\"Find(1)=3, Find(2)=3, Add (1,2)=92 Failed, w=140\",\"Find(0)=3, Find(3)=3, Add (0,3)=93 Failed, w=140\",\"Find(1)=3, Find(3)=3, Add (1,3)=96 Failed, w=140\",\"Find(0)=3, Find(4)=3, Add (0,4)=97 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,80],[0,2,92],[0,3,93],[0,4,97],[1,2,92],[1,3,96],[1,4,18],[2,3,75],[2,4,27],[3,4,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=15,(1,4)=18,(2,4)=27,(2,3)=75,(0,1)=80,(0,2)=92,(1,2)=92,(0,3)=93,(1,3)=96,(0,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3}, Find(1)=1, Find(4)=3, Add (1,4)=18 Succeeded, w=33\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=2, Find(4)=3, Add (2,4)=27 Succeeded, w=60\",\"Parent: {0: 0, 1: 3, 2: 3, 3: 3, 4: 3}, Find(2)=3, Find(3)=3, Add (2,3)=75 Failed, w=60\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=0, Find(1)=3, Add (0,1)=80 Succeeded, w=140\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(2)=3, Add (0,2)=92 Failed, w=140\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(2)=3, Add (1,2)=92 Failed, w=140\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(3)=3, Add (0,3)=93 Failed, w=140\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(1)=3, Find(3)=3, Add (1,3)=96 Failed, w=140\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3}, Find(0)=3, Find(4)=3, Add (0,4)=97 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,67],[0,2,3],[1,2,22],[1,3,36],[2,3,41]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[0,2,3],[1,2,22],[1,3,36],[2,3,41]]}",
"role": "user"
},
{
"content": "{\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[0,2,3],[1,2,22],[1,3,36],[2,3,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,2)\",\"Add (1,3)\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[0,2,3],[1,2,22],[1,3,36],[2,3,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3, w=3\",\"Add (1,2)=22, w=25\",\"Add (1,3)=36, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[0,2,3],[1,2,22],[1,3,36],[2,3,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3 Succeeded, w=3\",\"Add (1,2)=22 Succeeded, w=25\",\"Add (1,3)=36 Succeeded, w=61\",\"Add (2,3)=41 Failed, w=61\",\"Add (0,1)=67 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[0,2,3],[1,2,22],[1,3,36],[2,3,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(1,2)=22,(1,3)=36,(2,3)=41,(0,1)=67]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Find(1)=1, Find(2)=0, Add (1,2)=22 Succeeded, w=25\",\"Find(1)=0, Find(3)=3, Add (1,3)=36 Succeeded, w=61\",\"Find(2)=0, Find(3)=0, Add (2,3)=41 Failed, w=61\",\"Find(0)=0, Find(1)=0, Add (0,1)=67 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,67],[0,2,3],[1,2,22],[1,3,36],[2,3,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(1,2)=22,(1,3)=36,(2,3)=41,(0,1)=67]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3}, Find(1)=1, Find(2)=0, Add (1,2)=22 Succeeded, w=25\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=3, Add (1,3)=36 Succeeded, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=41 Failed, w=61\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=67 Failed, w=61\"],\"Answer\":61}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,3,56],[0,4,0],[1,2,20],[1,3,77],[1,4,42],[1,5,15],[2,3,72],[2,4,3],[2,5,3],[3,4,24],[4,5,54]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,56],[0,4,0],[1,2,20],[1,3,77],[1,4,42],[1,5,15],[2,3,72],[2,4,3],[2,5,3],[3,4,24],[4,5,54]]}",
"role": "user"
},
{
"content": "{\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,56],[0,4,0],[1,2,20],[1,3,77],[1,4,42],[1,5,15],[2,3,72],[2,4,3],[2,5,3],[3,4,24],[4,5,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,4)\",\"Add (2,5)\",\"Add (1,5)\",\"Add (3,4)\"],\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,56],[0,4,0],[1,2,20],[1,3,77],[1,4,42],[1,5,15],[2,3,72],[2,4,3],[2,5,3],[3,4,24],[4,5,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0, w=0\",\"Add (2,4)=3, w=3\",\"Add (2,5)=3, w=6\",\"Add (1,5)=15, w=21\",\"Add (3,4)=24, w=45\"],\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,56],[0,4,0],[1,2,20],[1,3,77],[1,4,42],[1,5,15],[2,3,72],[2,4,3],[2,5,3],[3,4,24],[4,5,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=0 Succeeded, w=0\",\"Add (2,4)=3 Succeeded, w=3\",\"Add (2,5)=3 Succeeded, w=6\",\"Add (1,5)=15 Succeeded, w=21\",\"Add (1,2)=20 Failed, w=21\",\"Add (3,4)=24 Succeeded, w=45\",\"Add (1,4)=42 Failed, w=45\",\"Add (4,5)=54 Failed, w=45\",\"Add (0,3)=56 Failed, w=45\",\"Add (2,3)=72 Failed, w=45\",\"Add (1,3)=77 Failed, w=45\"],\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,56],[0,4,0],[1,2,20],[1,3,77],[1,4,42],[1,5,15],[2,3,72],[2,4,3],[2,5,3],[3,4,24],[4,5,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(2,4)=3,(2,5)=3,(1,5)=15,(1,2)=20,(3,4)=24,(1,4)=42,(4,5)=54,(0,3)=56,(2,3)=72,(1,3)=77]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=0 Succeeded, w=0\",\"Find(2)=2, Find(4)=0, Add (2,4)=3 Succeeded, w=3\",\"Find(2)=0, Find(5)=5, Add (2,5)=3 Succeeded, w=6\",\"Find(1)=1, Find(5)=0, Add (1,5)=15 Succeeded, w=21\",\"Find(1)=0, Find(2)=0, Add (1,2)=20 Failed, w=21\",\"Find(3)=3, Find(4)=0, Add (3,4)=24 Succeeded, w=45\",\"Find(1)=0, Find(4)=0, Add (1,4)=42 Failed, w=45\",\"Find(4)=0, Find(5)=0, Add (4,5)=54 Failed, w=45\",\"Find(0)=0, Find(3)=0, Add (0,3)=56 Failed, w=45\",\"Find(2)=0, Find(3)=0, Add (2,3)=72 Failed, w=45\",\"Find(1)=0, Find(3)=0, Add (1,3)=77 Failed, w=45\"],\"Answer\":45}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,3,56],[0,4,0],[1,2,20],[1,3,77],[1,4,42],[1,5,15],[2,3,72],[2,4,3],[2,5,3],[3,4,24],[4,5,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=0,(2,4)=3,(2,5)=3,(1,5)=15,(1,2)=20,(3,4)=24,(1,4)=42,(4,5)=54,(0,3)=56,(2,3)=72,(1,3)=77]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5}, Find(2)=2, Find(4)=0, Add (2,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0}, Find(2)=0, Find(5)=5, Add (2,5)=3 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(1)=1, Find(5)=0, Add (1,5)=15 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=20 Failed, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=3, Find(4)=0, Add (3,4)=24 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=42 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=54 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=56 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=72 Failed, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=77 Failed, w=45\"],\"Answer\":45}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[1,2,15],[1,3,7],[1,4,83],[2,3,27]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,15],[1,3,7],[1,4,83],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,15],[1,3,7],[1,4,83],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (1,4)\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,15],[1,3,7],[1,4,83],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=7, w=7\",\"Add (1,2)=15, w=22\",\"Add (1,4)=83, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,15],[1,3,7],[1,4,83],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=7 Succeeded, w=7\",\"Add (1,2)=15 Succeeded, w=22\",\"Add (2,3)=27 Failed, w=22\",\"Add (1,4)=83 Succeeded, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,15],[1,3,7],[1,4,83],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=7,(1,2)=15,(2,3)=27,(1,4)=83]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=7\",\"Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=22\",\"Find(2)=1, Find(3)=1, Add (2,3)=27 Failed, w=22\",\"Find(1)=1, Find(4)=4, Add (1,4)=83 Succeeded, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[1,2,15],[1,3,7],[1,4,83],[2,3,27]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=7,(1,2)=15,(2,3)=27,(1,4)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4}, Find(1)=1, Find(3)=3, Add (1,3)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=15 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(2)=1, Find(3)=1, Add (2,3)=27 Failed, w=22\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=83 Succeeded, w=105\"],\"Answer\":105}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,77],[0,2,72],[0,3,39],[0,4,13],[0,5,56],[0,6,33],[0,7,92],[1,2,28],[1,3,38],[1,4,89],[1,6,65],[1,7,65],[2,3,29],[2,4,3],[2,5,48],[2,7,98],[3,4,78],[3,5,26],[3,6,80],[3,7,45],[4,5,9],[4,7,80],[5,6,28],[5,7,59],[6,7,43]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,77],[0,2,72],[0,3,39],[0,4,13],[0,5,56],[0,6,33],[0,7,92],[1,2,28],[1,3,38],[1,4,89],[1,6,65],[1,7,65],[2,3,29],[2,4,3],[2,5,48],[2,7,98],[3,4,78],[3,5,26],[3,6,80],[3,7,45],[4,5,9],[4,7,80],[5,6,28],[5,7,59],[6,7,43]]}",
"role": "user"
},
{
"content": "{\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,77],[0,2,72],[0,3,39],[0,4,13],[0,5,56],[0,6,33],[0,7,92],[1,2,28],[1,3,38],[1,4,89],[1,6,65],[1,7,65],[2,3,29],[2,4,3],[2,5,48],[2,7,98],[3,4,78],[3,5,26],[3,6,80],[3,7,45],[4,5,9],[4,7,80],[5,6,28],[5,7,59],[6,7,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (4,5)\",\"Add (0,4)\",\"Add (3,5)\",\"Add (1,2)\",\"Add (5,6)\",\"Add (6,7)\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,77],[0,2,72],[0,3,39],[0,4,13],[0,5,56],[0,6,33],[0,7,92],[1,2,28],[1,3,38],[1,4,89],[1,6,65],[1,7,65],[2,3,29],[2,4,3],[2,5,48],[2,7,98],[3,4,78],[3,5,26],[3,6,80],[3,7,45],[4,5,9],[4,7,80],[5,6,28],[5,7,59],[6,7,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=3, w=3\",\"Add (4,5)=9, w=12\",\"Add (0,4)=13, w=25\",\"Add (3,5)=26, w=51\",\"Add (1,2)=28, w=79\",\"Add (5,6)=28, w=107\",\"Add (6,7)=43, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,77],[0,2,72],[0,3,39],[0,4,13],[0,5,56],[0,6,33],[0,7,92],[1,2,28],[1,3,38],[1,4,89],[1,6,65],[1,7,65],[2,3,29],[2,4,3],[2,5,48],[2,7,98],[3,4,78],[3,5,26],[3,6,80],[3,7,45],[4,5,9],[4,7,80],[5,6,28],[5,7,59],[6,7,43]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=3 Succeeded, w=3\",\"Add (4,5)=9 Succeeded, w=12\",\"Add (0,4)=13 Succeeded, w=25\",\"Add (3,5)=26 Succeeded, w=51\",\"Add (1,2)=28 Succeeded, w=79\",\"Add (5,6)=28 Succeeded, w=107\",\"Add (2,3)=29 Failed, w=107\",\"Add (0,6)=33 Failed, w=107\",\"Add (1,3)=38 Failed, w=107\",\"Add (0,3)=39 Failed, w=107\",\"Add (6,7)=43 Succeeded, w=150\",\"Add (3,7)=45 Failed, w=150\",\"Add (2,5)=48 Failed, w=150\",\"Add (0,5)=56 Failed, w=150\",\"Add (5,7)=59 Failed, w=150\",\"Add (1,6)=65 Failed, w=150\",\"Add (1,7)=65 Failed, w=150\",\"Add (0,2)=72 Failed, w=150\",\"Add (0,1)=77 Failed, w=150\",\"Add (3,4)=78 Failed, w=150\",\"Add (3,6)=80 Failed, w=150\",\"Add (4,7)=80 Failed, w=150\",\"Add (1,4)=89 Failed, w=150\",\"Add (0,7)=92 Failed, w=150\",\"Add (2,7)=98 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,77],[0,2,72],[0,3,39],[0,4,13],[0,5,56],[0,6,33],[0,7,92],[1,2,28],[1,3,38],[1,4,89],[1,6,65],[1,7,65],[2,3,29],[2,4,3],[2,5,48],[2,7,98],[3,4,78],[3,5,26],[3,6,80],[3,7,45],[4,5,9],[4,7,80],[5,6,28],[5,7,59],[6,7,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=3,(4,5)=9,(0,4)=13,(3,5)=26,(1,2)=28,(5,6)=28,(2,3)=29,(0,6)=33,(1,3)=38,(0,3)=39,(6,7)=43,(3,7)=45,(2,5)=48,(0,5)=56,(5,7)=59,(1,6)=65,(1,7)=65,(0,2)=72,(0,1)=77,(3,4)=78,(3,6)=80,(4,7)=80,(1,4)=89,(0,7)=92,(2,7)=98]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=3 Succeeded, w=3\",\"Find(4)=2, Find(5)=5, Add (4,5)=9 Succeeded, w=12\",\"Find(0)=0, Find(4)=2, Add (0,4)=13 Succeeded, w=25\",\"Find(3)=3, Find(5)=2, Add (3,5)=26 Succeeded, w=51\",\"Find(1)=1, Find(2)=2, Add (1,2)=28 Succeeded, w=79\",\"Find(5)=2, Find(6)=6, Add (5,6)=28 Succeeded, w=107\",\"Find(2)=2, Find(3)=2, Add (2,3)=29 Failed, w=107\",\"Find(0)=2, Find(6)=2, Add (0,6)=33 Failed, w=107\",\"Find(1)=2, Find(3)=2, Add (1,3)=38 Failed, w=107\",\"Find(0)=2, Find(3)=2, Add (0,3)=39 Failed, w=107\",\"Find(6)=2, Find(7)=7, Add (6,7)=43 Succeeded, w=150\",\"Find(3)=2, Find(7)=2, Add (3,7)=45 Failed, w=150\",\"Find(2)=2, Find(5)=2, Add (2,5)=48 Failed, w=150\",\"Find(0)=2, Find(5)=2, Add (0,5)=56 Failed, w=150\",\"Find(5)=2, Find(7)=2, Add (5,7)=59 Failed, w=150\",\"Find(1)=2, Find(6)=2, Add (1,6)=65 Failed, w=150\",\"Find(1)=2, Find(7)=2, Add (1,7)=65 Failed, w=150\",\"Find(0)=2, Find(2)=2, Add (0,2)=72 Failed, w=150\",\"Find(0)=2, Find(1)=2, Add (0,1)=77 Failed, w=150\",\"Find(3)=2, Find(4)=2, Add (3,4)=78 Failed, w=150\",\"Find(3)=2, Find(6)=2, Add (3,6)=80 Failed, w=150\",\"Find(4)=2, Find(7)=2, Add (4,7)=80 Failed, w=150\",\"Find(1)=2, Find(4)=2, Add (1,4)=89 Failed, w=150\",\"Find(0)=2, Find(7)=2, Add (0,7)=92 Failed, w=150\",\"Find(2)=2, Find(7)=2, Add (2,7)=98 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,77],[0,2,72],[0,3,39],[0,4,13],[0,5,56],[0,6,33],[0,7,92],[1,2,28],[1,3,38],[1,4,89],[1,6,65],[1,7,65],[2,3,29],[2,4,3],[2,5,48],[2,7,98],[3,4,78],[3,5,26],[3,6,80],[3,7,45],[4,5,9],[4,7,80],[5,6,28],[5,7,59],[6,7,43]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=3,(4,5)=9,(0,4)=13,(3,5)=26,(1,2)=28,(5,6)=28,(2,3)=29,(0,6)=33,(1,3)=38,(0,3)=39,(6,7)=43,(3,7)=45,(2,5)=48,(0,5)=56,(5,7)=59,(1,6)=65,(1,7)=65,(0,2)=72,(0,1)=77,(3,4)=78,(3,6)=80,(4,7)=80,(1,4)=89,(0,7)=92,(2,7)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(4)=4, Add (2,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6, 7: 7}, Find(4)=2, Find(5)=5, Add (4,5)=9 Succeeded, w=12\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6, 7: 7}, Find(0)=0, Find(4)=2, Add (0,4)=13 Succeeded, w=25\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 7}, Find(3)=3, Find(5)=2, Add (3,5)=26 Succeeded, w=51\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=28 Succeeded, w=79\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 7}, Find(5)=2, Find(6)=6, Add (5,6)=28 Succeeded, w=107\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 7}, Find(2)=2, Find(3)=2, Add (2,3)=29 Failed, w=107\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 7}, Find(0)=2, Find(6)=2, Add (0,6)=33 Failed, w=107\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 7}, Find(1)=2, Find(3)=2, Add (1,3)=38 Failed, w=107\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 7}, Find(0)=2, Find(3)=2, Add (0,3)=39 Failed, w=107\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(6)=2, Find(7)=7, Add (6,7)=43 Succeeded, w=150\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(7)=2, Add (3,7)=45 Failed, w=150\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(5)=2, Add (2,5)=48 Failed, w=150\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=56 Failed, w=150\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(7)=2, Add (5,7)=59 Failed, w=150\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(6)=2, Add (1,6)=65 Failed, w=150\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(7)=2, Add (1,7)=65 Failed, w=150\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(2)=2, Add (0,2)=72 Failed, w=150\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(1)=2, Add (0,1)=77 Failed, w=150\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(4)=2, Add (3,4)=78 Failed, w=150\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(6)=2, Add (3,6)=80 Failed, w=150\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(7)=2, Add (4,7)=80 Failed, w=150\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(4)=2, Add (1,4)=89 Failed, w=150\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=92 Failed, w=150\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=98 Failed, w=150\"],\"Answer\":150}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,41],[0,3,7],[0,4,44],[1,2,91],[1,3,52],[1,4,49],[2,3,51]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,41],[0,3,7],[0,4,44],[1,2,91],[1,3,52],[1,4,49],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,41],[0,3,7],[0,4,44],[1,2,91],[1,3,52],[1,4,49],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,2)\",\"Add (0,4)\",\"Add (1,4)\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,41],[0,3,7],[0,4,44],[1,2,91],[1,3,52],[1,4,49],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=7, w=7\",\"Add (0,2)=41, w=48\",\"Add (0,4)=44, w=92\",\"Add (1,4)=49, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,41],[0,3,7],[0,4,44],[1,2,91],[1,3,52],[1,4,49],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=7 Succeeded, w=7\",\"Add (0,2)=41 Succeeded, w=48\",\"Add (0,4)=44 Succeeded, w=92\",\"Add (1,4)=49 Succeeded, w=141\",\"Add (2,3)=51 Failed, w=141\",\"Add (1,3)=52 Failed, w=141\",\"Add (1,2)=91 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,41],[0,3,7],[0,4,44],[1,2,91],[1,3,52],[1,4,49],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=7,(0,2)=41,(0,4)=44,(1,4)=49,(2,3)=51,(1,3)=52,(1,2)=91]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=7\",\"Find(0)=0, Find(2)=2, Add (0,2)=41 Succeeded, w=48\",\"Find(0)=0, Find(4)=4, Add (0,4)=44 Succeeded, w=92\",\"Find(1)=1, Find(4)=0, Add (1,4)=49 Succeeded, w=141\",\"Find(2)=0, Find(3)=0, Add (2,3)=51 Failed, w=141\",\"Find(1)=0, Find(3)=0, Add (1,3)=52 Failed, w=141\",\"Find(1)=0, Find(2)=0, Add (1,2)=91 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,41],[0,3,7],[0,4,44],[1,2,91],[1,3,52],[1,4,49],[2,3,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=7,(0,2)=41,(0,4)=44,(1,4)=49,(2,3)=51,(1,3)=52,(1,2)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=41 Succeeded, w=48\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=44 Succeeded, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=49 Succeeded, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=51 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=52 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=91 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,1],[0,2,40],[0,3,44],[0,4,16],[0,6,4],[1,2,31],[1,3,3],[1,4,10],[1,5,70],[1,6,86],[2,3,22],[2,4,3],[2,5,60],[2,6,78],[3,4,55],[3,6,55],[4,5,48],[4,6,89],[5,6,37]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,1],[0,2,40],[0,3,44],[0,4,16],[0,6,4],[1,2,31],[1,3,3],[1,4,10],[1,5,70],[1,6,86],[2,3,22],[2,4,3],[2,5,60],[2,6,78],[3,4,55],[3,6,55],[4,5,48],[4,6,89],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Answer\":58}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,1],[0,2,40],[0,3,44],[0,4,16],[0,6,4],[1,2,31],[1,3,3],[1,4,10],[1,5,70],[1,6,86],[2,3,22],[2,4,3],[2,5,60],[2,6,78],[3,4,55],[3,6,55],[4,5,48],[4,6,89],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (1,3)\",\"Add (2,4)\",\"Add (0,6)\",\"Add (1,4)\",\"Add (5,6)\"],\"Answer\":58}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,1],[0,2,40],[0,3,44],[0,4,16],[0,6,4],[1,2,31],[1,3,3],[1,4,10],[1,5,70],[1,6,86],[2,3,22],[2,4,3],[2,5,60],[2,6,78],[3,4,55],[3,6,55],[4,5,48],[4,6,89],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=1, w=1\",\"Add (1,3)=3, w=4\",\"Add (2,4)=3, w=7\",\"Add (0,6)=4, w=11\",\"Add (1,4)=10, w=21\",\"Add (5,6)=37, w=58\"],\"Answer\":58}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,1],[0,2,40],[0,3,44],[0,4,16],[0,6,4],[1,2,31],[1,3,3],[1,4,10],[1,5,70],[1,6,86],[2,3,22],[2,4,3],[2,5,60],[2,6,78],[3,4,55],[3,6,55],[4,5,48],[4,6,89],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=1 Succeeded, w=1\",\"Add (1,3)=3 Succeeded, w=4\",\"Add (2,4)=3 Succeeded, w=7\",\"Add (0,6)=4 Succeeded, w=11\",\"Add (1,4)=10 Succeeded, w=21\",\"Add (0,4)=16 Failed, w=21\",\"Add (2,3)=22 Failed, w=21\",\"Add (1,2)=31 Failed, w=21\",\"Add (5,6)=37 Succeeded, w=58\",\"Add (0,2)=40 Failed, w=58\",\"Add (0,3)=44 Failed, w=58\",\"Add (4,5)=48 Failed, w=58\",\"Add (3,4)=55 Failed, w=58\",\"Add (3,6)=55 Failed, w=58\",\"Add (2,5)=60 Failed, w=58\",\"Add (1,5)=70 Failed, w=58\",\"Add (2,6)=78 Failed, w=58\",\"Add (1,6)=86 Failed, w=58\",\"Add (4,6)=89 Failed, w=58\"],\"Answer\":58}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,1],[0,2,40],[0,3,44],[0,4,16],[0,6,4],[1,2,31],[1,3,3],[1,4,10],[1,5,70],[1,6,86],[2,3,22],[2,4,3],[2,5,60],[2,6,78],[3,4,55],[3,6,55],[4,5,48],[4,6,89],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=1,(1,3)=3,(2,4)=3,(0,6)=4,(1,4)=10,(0,4)=16,(2,3)=22,(1,2)=31,(5,6)=37,(0,2)=40,(0,3)=44,(4,5)=48,(3,4)=55,(3,6)=55,(2,5)=60,(1,5)=70,(2,6)=78,(1,6)=86,(4,6)=89]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=1 Succeeded, w=1\",\"Find(1)=0, Find(3)=3, Add (1,3)=3 Succeeded, w=4\",\"Find(2)=2, Find(4)=4, Add (2,4)=3 Succeeded, w=7\",\"Find(0)=0, Find(6)=6, Add (0,6)=4 Succeeded, w=11\",\"Find(1)=0, Find(4)=2, Add (1,4)=10 Succeeded, w=21\",\"Find(0)=0, Find(4)=0, Add (0,4)=16 Failed, w=21\",\"Find(2)=0, Find(3)=0, Add (2,3)=22 Failed, w=21\",\"Find(1)=0, Find(2)=0, Add (1,2)=31 Failed, w=21\",\"Find(5)=5, Find(6)=0, Add (5,6)=37 Succeeded, w=58\",\"Find(0)=0, Find(2)=0, Add (0,2)=40 Failed, w=58\",\"Find(0)=0, Find(3)=0, Add (0,3)=44 Failed, w=58\",\"Find(4)=0, Find(5)=0, Add (4,5)=48 Failed, w=58\",\"Find(3)=0, Find(4)=0, Add (3,4)=55 Failed, w=58\",\"Find(3)=0, Find(6)=0, Add (3,6)=55 Failed, w=58\",\"Find(2)=0, Find(5)=0, Add (2,5)=60 Failed, w=58\",\"Find(1)=0, Find(5)=0, Add (1,5)=70 Failed, w=58\",\"Find(2)=0, Find(6)=0, Add (2,6)=78 Failed, w=58\",\"Find(1)=0, Find(6)=0, Add (1,6)=86 Failed, w=58\",\"Find(4)=0, Find(6)=0, Add (4,6)=89 Failed, w=58\"],\"Answer\":58}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,1],[0,2,40],[0,3,44],[0,4,16],[0,6,4],[1,2,31],[1,3,3],[1,4,10],[1,5,70],[1,6,86],[2,3,22],[2,4,3],[2,5,60],[2,6,78],[3,4,55],[3,6,55],[4,5,48],[4,6,89],[5,6,37]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=1,(1,3)=3,(2,4)=3,(0,6)=4,(1,4)=10,(0,4)=16,(2,3)=22,(1,2)=31,(5,6)=37,(0,2)=40,(0,3)=44,(4,5)=48,(3,4)=55,(3,6)=55,(2,5)=60,(1,5)=70,(2,6)=78,(1,6)=86,(4,6)=89]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6}, Find(1)=0, Find(3)=3, Add (1,3)=3 Succeeded, w=4\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2, 5: 5, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=3 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=4 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 5, 6: 0}, Find(1)=0, Find(4)=2, Add (1,4)=10 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=16 Failed, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=22 Failed, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=31 Failed, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=5, Find(6)=0, Add (5,6)=37 Succeeded, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=40 Failed, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=44 Failed, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=48 Failed, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=55 Failed, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=55 Failed, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=60 Failed, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=70 Failed, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=78 Failed, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=86 Failed, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=89 Failed, w=58\"],\"Answer\":58}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,43],[1,3,67]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,43],[1,3,67]]}",
"role": "user"
},
{
"content": "{\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,43],[1,3,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,43],[1,3,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=43, w=43\",\"Add (1,3)=67, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,43],[1,3,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=43 Succeeded, w=43\",\"Add (1,3)=67 Succeeded, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,43],[1,3,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=43,(1,3)=67]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=43 Succeeded, w=43\",\"Find(1)=1, Find(3)=3, Add (1,3)=67 Succeeded, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,43],[1,3,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=43,(1,3)=67]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=43 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=67 Succeeded, w=110\"],\"Answer\":110}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,3,25],[0,4,23],[1,2,56],[1,4,51],[2,3,18],[2,4,91]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,25],[0,4,23],[1,2,56],[1,4,51],[2,3,18],[2,4,91]]}",
"role": "user"
},
{
"content": "{\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,25],[0,4,23],[1,2,56],[1,4,51],[2,3,18],[2,4,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,4)\",\"Add (0,3)\",\"Add (1,4)\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,25],[0,4,23],[1,2,56],[1,4,51],[2,3,18],[2,4,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=18, w=18\",\"Add (0,4)=23, w=41\",\"Add (0,3)=25, w=66\",\"Add (1,4)=51, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,25],[0,4,23],[1,2,56],[1,4,51],[2,3,18],[2,4,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=18 Succeeded, w=18\",\"Add (0,4)=23 Succeeded, w=41\",\"Add (0,3)=25 Succeeded, w=66\",\"Add (1,4)=51 Succeeded, w=117\",\"Add (1,2)=56 Failed, w=117\",\"Add (2,4)=91 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,25],[0,4,23],[1,2,56],[1,4,51],[2,3,18],[2,4,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=18,(0,4)=23,(0,3)=25,(1,4)=51,(1,2)=56,(2,4)=91]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=18 Succeeded, w=18\",\"Find(0)=0, Find(4)=4, Add (0,4)=23 Succeeded, w=41\",\"Find(0)=0, Find(3)=2, Add (0,3)=25 Succeeded, w=66\",\"Find(1)=1, Find(4)=0, Add (1,4)=51 Succeeded, w=117\",\"Find(1)=0, Find(2)=0, Add (1,2)=56 Failed, w=117\",\"Find(2)=0, Find(4)=0, Add (2,4)=91 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,3,25],[0,4,23],[1,2,56],[1,4,51],[2,3,18],[2,4,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=18,(0,4)=23,(0,3)=25,(1,4)=51,(1,2)=56,(2,4)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=18 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=23 Succeeded, w=41\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 2, 4: 0}, Find(0)=0, Find(3)=2, Add (0,3)=25 Succeeded, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=51 Succeeded, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=56 Failed, w=117\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=91 Failed, w=117\"],\"Answer\":117}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,19],[0,2,58],[0,3,49],[0,4,21],[1,3,92],[1,4,14],[2,4,93]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,58],[0,3,49],[0,4,21],[1,3,92],[1,4,14],[2,4,93]]}",
"role": "user"
},
{
"content": "{\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,58],[0,3,49],[0,4,21],[1,3,92],[1,4,14],[2,4,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,1)\",\"Add (0,3)\",\"Add (0,2)\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,58],[0,3,49],[0,4,21],[1,3,92],[1,4,14],[2,4,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=14, w=14\",\"Add (0,1)=19, w=33\",\"Add (0,3)=49, w=82\",\"Add (0,2)=58, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,58],[0,3,49],[0,4,21],[1,3,92],[1,4,14],[2,4,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=14 Succeeded, w=14\",\"Add (0,1)=19 Succeeded, w=33\",\"Add (0,4)=21 Failed, w=33\",\"Add (0,3)=49 Succeeded, w=82\",\"Add (0,2)=58 Succeeded, w=140\",\"Add (1,3)=92 Failed, w=140\",\"Add (2,4)=93 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,58],[0,3,49],[0,4,21],[1,3,92],[1,4,14],[2,4,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=14,(0,1)=19,(0,4)=21,(0,3)=49,(0,2)=58,(1,3)=92,(2,4)=93]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=14 Succeeded, w=14\",\"Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=33\",\"Find(0)=1, Find(4)=1, Add (0,4)=21 Failed, w=33\",\"Find(0)=1, Find(3)=3, Add (0,3)=49 Succeeded, w=82\",\"Find(0)=1, Find(2)=2, Add (0,2)=58 Succeeded, w=140\",\"Find(1)=1, Find(3)=1, Add (1,3)=92 Failed, w=140\",\"Find(2)=1, Find(4)=1, Add (2,4)=93 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,19],[0,2,58],[0,3,49],[0,4,21],[1,3,92],[1,4,14],[2,4,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=14,(0,1)=19,(0,4)=21,(0,3)=49,(0,2)=58,(1,3)=92,(2,4)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=14 Succeeded, w=14\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=33\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=21 Failed, w=33\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1}, Find(0)=1, Find(3)=3, Add (0,3)=49 Succeeded, w=82\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=2, Add (0,2)=58 Succeeded, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=92 Failed, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=93 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,35],[0,2,97],[0,3,3],[0,4,45],[0,5,3],[0,7,21],[1,2,54],[1,3,13],[1,5,20],[1,6,42],[1,7,12],[2,4,95],[2,6,23],[2,7,46],[3,4,95],[3,5,39],[3,7,92],[4,5,13],[4,7,0],[5,6,9],[5,7,7],[6,7,47]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[0,2,97],[0,3,3],[0,4,45],[0,5,3],[0,7,21],[1,2,54],[1,3,13],[1,5,20],[1,6,42],[1,7,12],[2,4,95],[2,6,23],[2,7,46],[3,4,95],[3,5,39],[3,7,92],[4,5,13],[4,7,0],[5,6,9],[5,7,7],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[0,2,97],[0,3,3],[0,4,45],[0,5,3],[0,7,21],[1,2,54],[1,3,13],[1,5,20],[1,6,42],[1,7,12],[2,4,95],[2,6,23],[2,7,46],[3,4,95],[3,5,39],[3,7,92],[4,5,13],[4,7,0],[5,6,9],[5,7,7],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)\",\"Add (0,3)\",\"Add (0,5)\",\"Add (5,7)\",\"Add (5,6)\",\"Add (1,7)\",\"Add (2,6)\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[0,2,97],[0,3,3],[0,4,45],[0,5,3],[0,7,21],[1,2,54],[1,3,13],[1,5,20],[1,6,42],[1,7,12],[2,4,95],[2,6,23],[2,7,46],[3,4,95],[3,5,39],[3,7,92],[4,5,13],[4,7,0],[5,6,9],[5,7,7],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)=0, w=0\",\"Add (0,3)=3, w=3\",\"Add (0,5)=3, w=6\",\"Add (5,7)=7, w=13\",\"Add (5,6)=9, w=22\",\"Add (1,7)=12, w=34\",\"Add (2,6)=23, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[0,2,97],[0,3,3],[0,4,45],[0,5,3],[0,7,21],[1,2,54],[1,3,13],[1,5,20],[1,6,42],[1,7,12],[2,4,95],[2,6,23],[2,7,46],[3,4,95],[3,5,39],[3,7,92],[4,5,13],[4,7,0],[5,6,9],[5,7,7],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,7)=0 Succeeded, w=0\",\"Add (0,3)=3 Succeeded, w=3\",\"Add (0,5)=3 Succeeded, w=6\",\"Add (5,7)=7 Succeeded, w=13\",\"Add (5,6)=9 Succeeded, w=22\",\"Add (1,7)=12 Succeeded, w=34\",\"Add (1,3)=13 Failed, w=34\",\"Add (4,5)=13 Failed, w=34\",\"Add (1,5)=20 Failed, w=34\",\"Add (0,7)=21 Failed, w=34\",\"Add (2,6)=23 Succeeded, w=57\",\"Add (0,1)=35 Failed, w=57\",\"Add (3,5)=39 Failed, w=57\",\"Add (1,6)=42 Failed, w=57\",\"Add (0,4)=45 Failed, w=57\",\"Add (2,7)=46 Failed, w=57\",\"Add (6,7)=47 Failed, w=57\",\"Add (1,2)=54 Failed, w=57\",\"Add (3,7)=92 Failed, w=57\",\"Add (2,4)=95 Failed, w=57\",\"Add (3,4)=95 Failed, w=57\",\"Add (0,2)=97 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[0,2,97],[0,3,3],[0,4,45],[0,5,3],[0,7,21],[1,2,54],[1,3,13],[1,5,20],[1,6,42],[1,7,12],[2,4,95],[2,6,23],[2,7,46],[3,4,95],[3,5,39],[3,7,92],[4,5,13],[4,7,0],[5,6,9],[5,7,7],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,7)=0,(0,3)=3,(0,5)=3,(5,7)=7,(5,6)=9,(1,7)=12,(1,3)=13,(4,5)=13,(1,5)=20,(0,7)=21,(2,6)=23,(0,1)=35,(3,5)=39,(1,6)=42,(0,4)=45,(2,7)=46,(6,7)=47,(1,2)=54,(3,7)=92,(2,4)=95,(3,4)=95,(0,2)=97]\",\"Process\":[\"Find(4)=4, Find(7)=7, Add (4,7)=0 Succeeded, w=0\",\"Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Find(0)=0, Find(5)=5, Add (0,5)=3 Succeeded, w=6\",\"Find(5)=0, Find(7)=4, Add (5,7)=7 Succeeded, w=13\",\"Find(5)=0, Find(6)=6, Add (5,6)=9 Succeeded, w=22\",\"Find(1)=1, Find(7)=0, Add (1,7)=12 Succeeded, w=34\",\"Find(1)=0, Find(3)=0, Add (1,3)=13 Failed, w=34\",\"Find(4)=0, Find(5)=0, Add (4,5)=13 Failed, w=34\",\"Find(1)=0, Find(5)=0, Add (1,5)=20 Failed, w=34\",\"Find(0)=0, Find(7)=0, Add (0,7)=21 Failed, w=34\",\"Find(2)=2, Find(6)=0, Add (2,6)=23 Succeeded, w=57\",\"Find(0)=0, Find(1)=0, Add (0,1)=35 Failed, w=57\",\"Find(3)=0, Find(5)=0, Add (3,5)=39 Failed, w=57\",\"Find(1)=0, Find(6)=0, Add (1,6)=42 Failed, w=57\",\"Find(0)=0, Find(4)=0, Add (0,4)=45 Failed, w=57\",\"Find(2)=0, Find(7)=0, Add (2,7)=46 Failed, w=57\",\"Find(6)=0, Find(7)=0, Add (6,7)=47 Failed, w=57\",\"Find(1)=0, Find(2)=0, Add (1,2)=54 Failed, w=57\",\"Find(3)=0, Find(7)=0, Add (3,7)=92 Failed, w=57\",\"Find(2)=0, Find(4)=0, Add (2,4)=95 Failed, w=57\",\"Find(3)=0, Find(4)=0, Add (3,4)=95 Failed, w=57\",\"Find(0)=0, Find(2)=0, Add (0,2)=97 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[0,2,97],[0,3,3],[0,4,45],[0,5,3],[0,7,21],[1,2,54],[1,3,13],[1,5,20],[1,6,42],[1,7,12],[2,4,95],[2,6,23],[2,7,46],[3,4,95],[3,5,39],[3,7,92],[4,5,13],[4,7,0],[5,6,9],[5,7,7],[6,7,47]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,7)=0,(0,3)=3,(0,5)=3,(5,7)=7,(5,6)=9,(1,7)=12,(1,3)=13,(4,5)=13,(1,5)=20,(0,7)=21,(2,6)=23,(0,1)=35,(3,5)=39,(1,6)=42,(0,4)=45,(2,7)=46,(6,7)=47,(1,2)=54,(3,7)=92,(2,4)=95,(3,4)=95,(0,2)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6, 7: 4}, Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 6, 7: 4}, Find(0)=0, Find(5)=5, Add (0,5)=3 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0, 6: 6, 7: 4}, Find(5)=0, Find(7)=4, Add (5,7)=7 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 4}, Find(5)=0, Find(6)=6, Add (5,6)=9 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=1, Find(7)=0, Add (1,7)=12 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=13 Failed, w=34\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=13 Failed, w=34\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(5)=0, Add (1,5)=20 Failed, w=34\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(7)=0, Add (0,7)=21 Failed, w=34\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=2, Find(6)=0, Add (2,6)=23 Succeeded, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(1)=0, Add (0,1)=35 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=39 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=42 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=45 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=46 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=47 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=54 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=92 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=95 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(4)=0, Add (3,4)=95 Failed, w=57\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=97 Failed, w=57\"],\"Answer\":57}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,51],[0,4,94],[0,5,61],[1,3,17],[1,4,15],[2,5,71],[3,5,12],[4,5,66]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,51],[0,4,94],[0,5,61],[1,3,17],[1,4,15],[2,5,71],[3,5,12],[4,5,66]]}",
"role": "user"
},
{
"content": "{\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,51],[0,4,94],[0,5,61],[1,3,17],[1,4,15],[2,5,71],[3,5,12],[4,5,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (1,4)\",\"Add (1,3)\",\"Add (0,2)\",\"Add (0,5)\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,51],[0,4,94],[0,5,61],[1,3,17],[1,4,15],[2,5,71],[3,5,12],[4,5,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=12, w=12\",\"Add (1,4)=15, w=27\",\"Add (1,3)=17, w=44\",\"Add (0,2)=51, w=95\",\"Add (0,5)=61, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,51],[0,4,94],[0,5,61],[1,3,17],[1,4,15],[2,5,71],[3,5,12],[4,5,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=12 Succeeded, w=12\",\"Add (1,4)=15 Succeeded, w=27\",\"Add (1,3)=17 Succeeded, w=44\",\"Add (0,2)=51 Succeeded, w=95\",\"Add (0,5)=61 Succeeded, w=156\",\"Add (4,5)=66 Failed, w=156\",\"Add (2,5)=71 Failed, w=156\",\"Add (0,4)=94 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,51],[0,4,94],[0,5,61],[1,3,17],[1,4,15],[2,5,71],[3,5,12],[4,5,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=12,(1,4)=15,(1,3)=17,(0,2)=51,(0,5)=61,(4,5)=66,(2,5)=71,(0,4)=94]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=12 Succeeded, w=12\",\"Find(1)=1, Find(4)=4, Add (1,4)=15 Succeeded, w=27\",\"Find(1)=1, Find(3)=3, Add (1,3)=17 Succeeded, w=44\",\"Find(0)=0, Find(2)=2, Add (0,2)=51 Succeeded, w=95\",\"Find(0)=0, Find(5)=1, Add (0,5)=61 Succeeded, w=156\",\"Find(4)=1, Find(5)=1, Add (4,5)=66 Failed, w=156\",\"Find(2)=1, Find(5)=1, Add (2,5)=71 Failed, w=156\",\"Find(0)=1, Find(4)=1, Add (0,4)=94 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,51],[0,4,94],[0,5,61],[1,3,17],[1,4,15],[2,5,71],[3,5,12],[4,5,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=12,(1,4)=15,(1,3)=17,(0,2)=51,(0,5)=61,(4,5)=66,(2,5)=71,(0,4)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 3}, Find(1)=1, Find(4)=4, Add (1,4)=15 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 3}, Find(1)=1, Find(3)=3, Add (1,3)=17 Succeeded, w=44\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 3}, Find(0)=0, Find(2)=2, Add (0,2)=51 Succeeded, w=95\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1}, Find(0)=0, Find(5)=1, Add (0,5)=61 Succeeded, w=156\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=66 Failed, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=71 Failed, w=156\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=94 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,78],[0,2,11],[0,3,58],[0,4,93],[0,5,70],[0,6,92],[0,7,26],[1,2,99],[1,3,2],[1,4,54],[1,5,5],[1,6,78],[1,7,39],[2,3,2],[2,4,87],[2,5,29],[2,7,92],[3,4,66],[3,5,66],[3,6,52],[3,7,58],[4,5,62],[4,6,9],[4,7,19],[5,6,21],[6,7,17]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,78],[0,2,11],[0,3,58],[0,4,93],[0,5,70],[0,6,92],[0,7,26],[1,2,99],[1,3,2],[1,4,54],[1,5,5],[1,6,78],[1,7,39],[2,3,2],[2,4,87],[2,5,29],[2,7,92],[3,4,66],[3,5,66],[3,6,52],[3,7,58],[4,5,62],[4,6,9],[4,7,19],[5,6,21],[6,7,17]]}",
"role": "user"
},
{
"content": "{\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,78],[0,2,11],[0,3,58],[0,4,93],[0,5,70],[0,6,92],[0,7,26],[1,2,99],[1,3,2],[1,4,54],[1,5,5],[1,6,78],[1,7,39],[2,3,2],[2,4,87],[2,5,29],[2,7,92],[3,4,66],[3,5,66],[3,6,52],[3,7,58],[4,5,62],[4,6,9],[4,7,19],[5,6,21],[6,7,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (1,5)\",\"Add (4,6)\",\"Add (0,2)\",\"Add (6,7)\",\"Add (5,6)\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,78],[0,2,11],[0,3,58],[0,4,93],[0,5,70],[0,6,92],[0,7,26],[1,2,99],[1,3,2],[1,4,54],[1,5,5],[1,6,78],[1,7,39],[2,3,2],[2,4,87],[2,5,29],[2,7,92],[3,4,66],[3,5,66],[3,6,52],[3,7,58],[4,5,62],[4,6,9],[4,7,19],[5,6,21],[6,7,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2, w=2\",\"Add (2,3)=2, w=4\",\"Add (1,5)=5, w=9\",\"Add (4,6)=9, w=18\",\"Add (0,2)=11, w=29\",\"Add (6,7)=17, w=46\",\"Add (5,6)=21, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,78],[0,2,11],[0,3,58],[0,4,93],[0,5,70],[0,6,92],[0,7,26],[1,2,99],[1,3,2],[1,4,54],[1,5,5],[1,6,78],[1,7,39],[2,3,2],[2,4,87],[2,5,29],[2,7,92],[3,4,66],[3,5,66],[3,6,52],[3,7,58],[4,5,62],[4,6,9],[4,7,19],[5,6,21],[6,7,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=2 Succeeded, w=2\",\"Add (2,3)=2 Succeeded, w=4\",\"Add (1,5)=5 Succeeded, w=9\",\"Add (4,6)=9 Succeeded, w=18\",\"Add (0,2)=11 Succeeded, w=29\",\"Add (6,7)=17 Succeeded, w=46\",\"Add (4,7)=19 Failed, w=46\",\"Add (5,6)=21 Succeeded, w=67\",\"Add (0,7)=26 Failed, w=67\",\"Add (2,5)=29 Failed, w=67\",\"Add (1,7)=39 Failed, w=67\",\"Add (3,6)=52 Failed, w=67\",\"Add (1,4)=54 Failed, w=67\",\"Add (0,3)=58 Failed, w=67\",\"Add (3,7)=58 Failed, w=67\",\"Add (4,5)=62 Failed, w=67\",\"Add (3,4)=66 Failed, w=67\",\"Add (3,5)=66 Failed, w=67\",\"Add (0,5)=70 Failed, w=67\",\"Add (0,1)=78 Failed, w=67\",\"Add (1,6)=78 Failed, w=67\",\"Add (2,4)=87 Failed, w=67\",\"Add (0,6)=92 Failed, w=67\",\"Add (2,7)=92 Failed, w=67\",\"Add (0,4)=93 Failed, w=67\",\"Add (1,2)=99 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,78],[0,2,11],[0,3,58],[0,4,93],[0,5,70],[0,6,92],[0,7,26],[1,2,99],[1,3,2],[1,4,54],[1,5,5],[1,6,78],[1,7,39],[2,3,2],[2,4,87],[2,5,29],[2,7,92],[3,4,66],[3,5,66],[3,6,52],[3,7,58],[4,5,62],[4,6,9],[4,7,19],[5,6,21],[6,7,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(2,3)=2,(1,5)=5,(4,6)=9,(0,2)=11,(6,7)=17,(4,7)=19,(5,6)=21,(0,7)=26,(2,5)=29,(1,7)=39,(3,6)=52,(1,4)=54,(0,3)=58,(3,7)=58,(4,5)=62,(3,4)=66,(3,5)=66,(0,5)=70,(0,1)=78,(1,6)=78,(2,4)=87,(0,6)=92,(2,7)=92,(0,4)=93,(1,2)=99]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Find(2)=2, Find(3)=1, Add (2,3)=2 Succeeded, w=4\",\"Find(1)=1, Find(5)=5, Add (1,5)=5 Succeeded, w=9\",\"Find(4)=4, Find(6)=6, Add (4,6)=9 Succeeded, w=18\",\"Find(0)=0, Find(2)=1, Add (0,2)=11 Succeeded, w=29\",\"Find(6)=4, Find(7)=7, Add (6,7)=17 Succeeded, w=46\",\"Find(4)=4, Find(7)=4, Add (4,7)=19 Failed, w=46\",\"Find(5)=1, Find(6)=4, Add (5,6)=21 Succeeded, w=67\",\"Find(0)=1, Find(7)=1, Add (0,7)=26 Failed, w=67\",\"Find(2)=1, Find(5)=1, Add (2,5)=29 Failed, w=67\",\"Find(1)=1, Find(7)=1, Add (1,7)=39 Failed, w=67\",\"Find(3)=1, Find(6)=1, Add (3,6)=52 Failed, w=67\",\"Find(1)=1, Find(4)=1, Add (1,4)=54 Failed, w=67\",\"Find(0)=1, Find(3)=1, Add (0,3)=58 Failed, w=67\",\"Find(3)=1, Find(7)=1, Add (3,7)=58 Failed, w=67\",\"Find(4)=1, Find(5)=1, Add (4,5)=62 Failed, w=67\",\"Find(3)=1, Find(4)=1, Add (3,4)=66 Failed, w=67\",\"Find(3)=1, Find(5)=1, Add (3,5)=66 Failed, w=67\",\"Find(0)=1, Find(5)=1, Add (0,5)=70 Failed, w=67\",\"Find(0)=1, Find(1)=1, Add (0,1)=78 Failed, w=67\",\"Find(1)=1, Find(6)=1, Add (1,6)=78 Failed, w=67\",\"Find(2)=1, Find(4)=1, Add (2,4)=87 Failed, w=67\",\"Find(0)=1, Find(6)=1, Add (0,6)=92 Failed, w=67\",\"Find(2)=1, Find(7)=1, Add (2,7)=92 Failed, w=67\",\"Find(0)=1, Find(4)=1, Add (0,4)=93 Failed, w=67\",\"Find(1)=1, Find(2)=1, Add (1,2)=99 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,78],[0,2,11],[0,3,58],[0,4,93],[0,5,70],[0,6,92],[0,7,26],[1,2,99],[1,3,2],[1,4,54],[1,5,5],[1,6,78],[1,7,39],[2,3,2],[2,4,87],[2,5,29],[2,7,92],[3,4,66],[3,5,66],[3,6,52],[3,7,58],[4,5,62],[4,6,9],[4,7,19],[5,6,21],[6,7,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=2,(2,3)=2,(1,5)=5,(4,6)=9,(0,2)=11,(6,7)=17,(4,7)=19,(5,6)=21,(0,7)=26,(2,5)=29,(1,7)=39,(3,6)=52,(1,4)=54,(0,3)=58,(3,7)=58,(4,5)=62,(3,4)=66,(3,5)=66,(0,5)=70,(0,1)=78,(1,6)=78,(2,4)=87,(0,6)=92,(2,7)=92,(0,4)=93,(1,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 5, 6: 6, 7: 7}, Find(2)=2, Find(3)=1, Add (2,3)=2 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 4, 7: 7}, Find(4)=4, Find(6)=6, Add (4,6)=9 Succeeded, w=18\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 4, 7: 7}, Find(0)=0, Find(2)=1, Add (0,2)=11 Succeeded, w=29\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 4, 7: 4}, Find(6)=4, Find(7)=7, Add (6,7)=17 Succeeded, w=46\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 4, 7: 4}, Find(4)=4, Find(7)=4, Add (4,7)=19 Failed, w=46\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 4, 7: 4}, Find(5)=1, Find(6)=4, Add (5,6)=21 Succeeded, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 4, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=26 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 4, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=29 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 4, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=39 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(6)=1, Add (3,6)=52 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(4)=1, Add (1,4)=54 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(3)=1, Add (0,3)=58 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=58 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(5)=1, Add (4,5)=62 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=66 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(5)=1, Add (3,5)=66 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=70 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(1)=1, Add (0,1)=78 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(6)=1, Add (1,6)=78 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(4)=1, Add (2,4)=87 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(6)=1, Add (0,6)=92 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=92 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(4)=1, Add (0,4)=93 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(2)=1, Add (1,2)=99 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,32],[0,2,10],[0,3,21],[0,4,69],[0,5,100],[0,6,16],[1,2,62],[1,3,27],[1,4,81],[1,5,92],[1,6,94],[2,3,12],[2,4,13],[2,5,0],[2,6,98],[3,4,87],[3,5,80],[3,6,85],[4,5,78],[4,6,44],[5,6,53]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,32],[0,2,10],[0,3,21],[0,4,69],[0,5,100],[0,6,16],[1,2,62],[1,3,27],[1,4,81],[1,5,92],[1,6,94],[2,3,12],[2,4,13],[2,5,0],[2,6,98],[3,4,87],[3,5,80],[3,6,85],[4,5,78],[4,6,44],[5,6,53]]}",
"role": "user"
},
{
"content": "{\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,32],[0,2,10],[0,3,21],[0,4,69],[0,5,100],[0,6,16],[1,2,62],[1,3,27],[1,4,81],[1,5,92],[1,6,94],[2,3,12],[2,4,13],[2,5,0],[2,6,98],[3,4,87],[3,5,80],[3,6,85],[4,5,78],[4,6,44],[5,6,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (0,2)\",\"Add (2,3)\",\"Add (2,4)\",\"Add (0,6)\",\"Add (1,3)\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,32],[0,2,10],[0,3,21],[0,4,69],[0,5,100],[0,6,16],[1,2,62],[1,3,27],[1,4,81],[1,5,92],[1,6,94],[2,3,12],[2,4,13],[2,5,0],[2,6,98],[3,4,87],[3,5,80],[3,6,85],[4,5,78],[4,6,44],[5,6,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=0, w=0\",\"Add (0,2)=10, w=10\",\"Add (2,3)=12, w=22\",\"Add (2,4)=13, w=35\",\"Add (0,6)=16, w=51\",\"Add (1,3)=27, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,32],[0,2,10],[0,3,21],[0,4,69],[0,5,100],[0,6,16],[1,2,62],[1,3,27],[1,4,81],[1,5,92],[1,6,94],[2,3,12],[2,4,13],[2,5,0],[2,6,98],[3,4,87],[3,5,80],[3,6,85],[4,5,78],[4,6,44],[5,6,53]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=0 Succeeded, w=0\",\"Add (0,2)=10 Succeeded, w=10\",\"Add (2,3)=12 Succeeded, w=22\",\"Add (2,4)=13 Succeeded, w=35\",\"Add (0,6)=16 Succeeded, w=51\",\"Add (0,3)=21 Failed, w=51\",\"Add (1,3)=27 Succeeded, w=78\",\"Add (0,1)=32 Failed, w=78\",\"Add (4,6)=44 Failed, w=78\",\"Add (5,6)=53 Failed, w=78\",\"Add (1,2)=62 Failed, w=78\",\"Add (0,4)=69 Failed, w=78\",\"Add (4,5)=78 Failed, w=78\",\"Add (3,5)=80 Failed, w=78\",\"Add (1,4)=81 Failed, w=78\",\"Add (3,6)=85 Failed, w=78\",\"Add (3,4)=87 Failed, w=78\",\"Add (1,5)=92 Failed, w=78\",\"Add (1,6)=94 Failed, w=78\",\"Add (2,6)=98 Failed, w=78\",\"Add (0,5)=100 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,32],[0,2,10],[0,3,21],[0,4,69],[0,5,100],[0,6,16],[1,2,62],[1,3,27],[1,4,81],[1,5,92],[1,6,94],[2,3,12],[2,4,13],[2,5,0],[2,6,98],[3,4,87],[3,5,80],[3,6,85],[4,5,78],[4,6,44],[5,6,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=0,(0,2)=10,(2,3)=12,(2,4)=13,(0,6)=16,(0,3)=21,(1,3)=27,(0,1)=32,(4,6)=44,(5,6)=53,(1,2)=62,(0,4)=69,(4,5)=78,(3,5)=80,(1,4)=81,(3,6)=85,(3,4)=87,(1,5)=92,(1,6)=94,(2,6)=98,(0,5)=100]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=0 Succeeded, w=0\",\"Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=10\",\"Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=22\",\"Find(2)=2, Find(4)=4, Add (2,4)=13 Succeeded, w=35\",\"Find(0)=2, Find(6)=6, Add (0,6)=16 Succeeded, w=51\",\"Find(0)=2, Find(3)=2, Add (0,3)=21 Failed, w=51\",\"Find(1)=1, Find(3)=2, Add (1,3)=27 Succeeded, w=78\",\"Find(0)=2, Find(1)=2, Add (0,1)=32 Failed, w=78\",\"Find(4)=2, Find(6)=2, Add (4,6)=44 Failed, w=78\",\"Find(5)=2, Find(6)=2, Add (5,6)=53 Failed, w=78\",\"Find(1)=2, Find(2)=2, Add (1,2)=62 Failed, w=78\",\"Find(0)=2, Find(4)=2, Add (0,4)=69 Failed, w=78\",\"Find(4)=2, Find(5)=2, Add (4,5)=78 Failed, w=78\",\"Find(3)=2, Find(5)=2, Add (3,5)=80 Failed, w=78\",\"Find(1)=2, Find(4)=2, Add (1,4)=81 Failed, w=78\",\"Find(3)=2, Find(6)=2, Add (3,6)=85 Failed, w=78\",\"Find(3)=2, Find(4)=2, Add (3,4)=87 Failed, w=78\",\"Find(1)=2, Find(5)=2, Add (1,5)=92 Failed, w=78\",\"Find(1)=2, Find(6)=2, Add (1,6)=94 Failed, w=78\",\"Find(2)=2, Find(6)=2, Add (2,6)=98 Failed, w=78\",\"Find(0)=2, Find(5)=2, Add (0,5)=100 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,32],[0,2,10],[0,3,21],[0,4,69],[0,5,100],[0,6,16],[1,2,62],[1,3,27],[1,4,81],[1,5,92],[1,6,94],[2,3,12],[2,4,13],[2,5,0],[2,6,98],[3,4,87],[3,5,80],[3,6,85],[4,5,78],[4,6,44],[5,6,53]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=0,(0,2)=10,(2,3)=12,(2,4)=13,(0,6)=16,(0,3)=21,(1,3)=27,(0,1)=32,(4,6)=44,(5,6)=53,(1,2)=62,(0,4)=69,(4,5)=78,(3,5)=80,(1,4)=81,(3,6)=85,(3,4)=87,(1,5)=92,(1,6)=94,(2,6)=98,(0,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=0 Succeeded, w=0\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=10\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 6}, Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=22\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=13 Succeeded, w=35\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=6, Add (0,6)=16 Succeeded, w=51\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(3)=2, Add (0,3)=21 Failed, w=51\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=1, Find(3)=2, Add (1,3)=27 Succeeded, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(1)=2, Add (0,1)=32 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=44 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=53 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=62 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=2, Add (0,4)=69 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=78 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=80 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=81 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(6)=2, Add (3,6)=85 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=87 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(5)=2, Add (1,5)=92 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=94 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(6)=2, Add (2,6)=98 Failed, w=78\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(5)=2, Add (0,5)=100 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,25],[0,6,13],[1,2,99],[1,3,9],[1,4,29],[1,5,24],[2,4,4],[2,5,46],[2,6,22],[3,4,86],[4,5,54],[4,6,36],[5,6,34]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,25],[0,6,13],[1,2,99],[1,3,9],[1,4,29],[1,5,24],[2,4,4],[2,5,46],[2,6,22],[3,4,86],[4,5,54],[4,6,36],[5,6,34]]}",
"role": "user"
},
{
"content": "{\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,25],[0,6,13],[1,2,99],[1,3,9],[1,4,29],[1,5,24],[2,4,4],[2,5,46],[2,6,22],[3,4,86],[4,5,54],[4,6,36],[5,6,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,3)\",\"Add (0,6)\",\"Add (2,6)\",\"Add (1,5)\",\"Add (0,3)\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,25],[0,6,13],[1,2,99],[1,3,9],[1,4,29],[1,5,24],[2,4,4],[2,5,46],[2,6,22],[3,4,86],[4,5,54],[4,6,36],[5,6,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=4, w=4\",\"Add (1,3)=9, w=13\",\"Add (0,6)=13, w=26\",\"Add (2,6)=22, w=48\",\"Add (1,5)=24, w=72\",\"Add (0,3)=25, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,25],[0,6,13],[1,2,99],[1,3,9],[1,4,29],[1,5,24],[2,4,4],[2,5,46],[2,6,22],[3,4,86],[4,5,54],[4,6,36],[5,6,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=4 Succeeded, w=4\",\"Add (1,3)=9 Succeeded, w=13\",\"Add (0,6)=13 Succeeded, w=26\",\"Add (2,6)=22 Succeeded, w=48\",\"Add (1,5)=24 Succeeded, w=72\",\"Add (0,3)=25 Succeeded, w=97\",\"Add (1,4)=29 Failed, w=97\",\"Add (5,6)=34 Failed, w=97\",\"Add (4,6)=36 Failed, w=97\",\"Add (2,5)=46 Failed, w=97\",\"Add (4,5)=54 Failed, w=97\",\"Add (3,4)=86 Failed, w=97\",\"Add (1,2)=99 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,25],[0,6,13],[1,2,99],[1,3,9],[1,4,29],[1,5,24],[2,4,4],[2,5,46],[2,6,22],[3,4,86],[4,5,54],[4,6,36],[5,6,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=4,(1,3)=9,(0,6)=13,(2,6)=22,(1,5)=24,(0,3)=25,(1,4)=29,(5,6)=34,(4,6)=36,(2,5)=46,(4,5)=54,(3,4)=86,(1,2)=99]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=13\",\"Find(0)=0, Find(6)=6, Add (0,6)=13 Succeeded, w=26\",\"Find(2)=2, Find(6)=0, Add (2,6)=22 Succeeded, w=48\",\"Find(1)=1, Find(5)=5, Add (1,5)=24 Succeeded, w=72\",\"Find(0)=2, Find(3)=1, Add (0,3)=25 Succeeded, w=97\",\"Find(1)=2, Find(4)=2, Add (1,4)=29 Failed, w=97\",\"Find(5)=2, Find(6)=2, Add (5,6)=34 Failed, w=97\",\"Find(4)=2, Find(6)=2, Add (4,6)=36 Failed, w=97\",\"Find(2)=2, Find(5)=2, Add (2,5)=46 Failed, w=97\",\"Find(4)=2, Find(5)=2, Add (4,5)=54 Failed, w=97\",\"Find(3)=2, Find(4)=2, Add (3,4)=86 Failed, w=97\",\"Find(1)=2, Find(2)=2, Add (1,2)=99 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,25],[0,6,13],[1,2,99],[1,3,9],[1,4,29],[1,5,24],[2,4,4],[2,5,46],[2,6,22],[3,4,86],[4,5,54],[4,6,36],[5,6,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=4,(1,3)=9,(0,6)=13,(2,6)=22,(1,5)=24,(0,3)=25,(1,4)=29,(5,6)=34,(4,6)=36,(2,5)=46,(4,5)=54,(3,4)=86,(1,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 5, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=13 Succeeded, w=26\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 2, 5: 5, 6: 0}, Find(2)=2, Find(6)=0, Add (2,6)=22 Succeeded, w=48\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 2, 5: 1, 6: 0}, Find(1)=1, Find(5)=5, Add (1,5)=24 Succeeded, w=72\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 1, 6: 0}, Find(0)=2, Find(3)=1, Add (0,3)=25 Succeeded, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 1, 6: 0}, Find(1)=2, Find(4)=2, Add (1,4)=29 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=34 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=36 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=46 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 1, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=54 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=86 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=99 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,22],[0,3,57],[0,4,7],[0,5,88],[0,6,89],[0,7,33],[1,2,4],[1,4,15],[1,5,10],[1,6,59],[1,7,70],[2,3,99],[2,4,36],[2,5,82],[2,6,12],[2,7,31],[3,4,56],[3,5,54],[3,6,25],[3,7,93],[4,5,90],[4,6,62],[4,7,97],[5,6,43],[6,7,62]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,22],[0,3,57],[0,4,7],[0,5,88],[0,6,89],[0,7,33],[1,2,4],[1,4,15],[1,5,10],[1,6,59],[1,7,70],[2,3,99],[2,4,36],[2,5,82],[2,6,12],[2,7,31],[3,4,56],[3,5,54],[3,6,25],[3,7,93],[4,5,90],[4,6,62],[4,7,97],[5,6,43],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,22],[0,3,57],[0,4,7],[0,5,88],[0,6,89],[0,7,33],[1,2,4],[1,4,15],[1,5,10],[1,6,59],[1,7,70],[2,3,99],[2,4,36],[2,5,82],[2,6,12],[2,7,31],[3,4,56],[3,5,54],[3,6,25],[3,7,93],[4,5,90],[4,6,62],[4,7,97],[5,6,43],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,4)\",\"Add (1,5)\",\"Add (2,6)\",\"Add (1,4)\",\"Add (3,6)\",\"Add (2,7)\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,22],[0,3,57],[0,4,7],[0,5,88],[0,6,89],[0,7,33],[1,2,4],[1,4,15],[1,5,10],[1,6,59],[1,7,70],[2,3,99],[2,4,36],[2,5,82],[2,6,12],[2,7,31],[3,4,56],[3,5,54],[3,6,25],[3,7,93],[4,5,90],[4,6,62],[4,7,97],[5,6,43],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=4, w=4\",\"Add (0,4)=7, w=11\",\"Add (1,5)=10, w=21\",\"Add (2,6)=12, w=33\",\"Add (1,4)=15, w=48\",\"Add (3,6)=25, w=73\",\"Add (2,7)=31, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,22],[0,3,57],[0,4,7],[0,5,88],[0,6,89],[0,7,33],[1,2,4],[1,4,15],[1,5,10],[1,6,59],[1,7,70],[2,3,99],[2,4,36],[2,5,82],[2,6,12],[2,7,31],[3,4,56],[3,5,54],[3,6,25],[3,7,93],[4,5,90],[4,6,62],[4,7,97],[5,6,43],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=4 Succeeded, w=4\",\"Add (0,4)=7 Succeeded, w=11\",\"Add (1,5)=10 Succeeded, w=21\",\"Add (2,6)=12 Succeeded, w=33\",\"Add (1,4)=15 Succeeded, w=48\",\"Add (0,1)=22 Failed, w=48\",\"Add (3,6)=25 Succeeded, w=73\",\"Add (2,7)=31 Succeeded, w=104\",\"Add (0,7)=33 Failed, w=104\",\"Add (2,4)=36 Failed, w=104\",\"Add (5,6)=43 Failed, w=104\",\"Add (3,5)=54 Failed, w=104\",\"Add (3,4)=56 Failed, w=104\",\"Add (0,3)=57 Failed, w=104\",\"Add (1,6)=59 Failed, w=104\",\"Add (4,6)=62 Failed, w=104\",\"Add (6,7)=62 Failed, w=104\",\"Add (1,7)=70 Failed, w=104\",\"Add (2,5)=82 Failed, w=104\",\"Add (0,5)=88 Failed, w=104\",\"Add (0,6)=89 Failed, w=104\",\"Add (4,5)=90 Failed, w=104\",\"Add (3,7)=93 Failed, w=104\",\"Add (4,7)=97 Failed, w=104\",\"Add (2,3)=99 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,22],[0,3,57],[0,4,7],[0,5,88],[0,6,89],[0,7,33],[1,2,4],[1,4,15],[1,5,10],[1,6,59],[1,7,70],[2,3,99],[2,4,36],[2,5,82],[2,6,12],[2,7,31],[3,4,56],[3,5,54],[3,6,25],[3,7,93],[4,5,90],[4,6,62],[4,7,97],[5,6,43],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=4,(0,4)=7,(1,5)=10,(2,6)=12,(1,4)=15,(0,1)=22,(3,6)=25,(2,7)=31,(0,7)=33,(2,4)=36,(5,6)=43,(3,5)=54,(3,4)=56,(0,3)=57,(1,6)=59,(4,6)=62,(6,7)=62,(1,7)=70,(2,5)=82,(0,5)=88,(0,6)=89,(4,5)=90,(3,7)=93,(4,7)=97,(2,3)=99]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=4\",\"Find(0)=0, Find(4)=4, Add (0,4)=7 Succeeded, w=11\",\"Find(1)=1, Find(5)=5, Add (1,5)=10 Succeeded, w=21\",\"Find(2)=1, Find(6)=6, Add (2,6)=12 Succeeded, w=33\",\"Find(1)=1, Find(4)=0, Add (1,4)=15 Succeeded, w=48\",\"Find(0)=1, Find(1)=1, Add (0,1)=22 Failed, w=48\",\"Find(3)=3, Find(6)=1, Add (3,6)=25 Succeeded, w=73\",\"Find(2)=1, Find(7)=7, Add (2,7)=31 Succeeded, w=104\",\"Find(0)=1, Find(7)=1, Add (0,7)=33 Failed, w=104\",\"Find(2)=1, Find(4)=1, Add (2,4)=36 Failed, w=104\",\"Find(5)=1, Find(6)=1, Add (5,6)=43 Failed, w=104\",\"Find(3)=1, Find(5)=1, Add (3,5)=54 Failed, w=104\",\"Find(3)=1, Find(4)=1, Add (3,4)=56 Failed, w=104\",\"Find(0)=1, Find(3)=1, Add (0,3)=57 Failed, w=104\",\"Find(1)=1, Find(6)=1, Add (1,6)=59 Failed, w=104\",\"Find(4)=1, Find(6)=1, Add (4,6)=62 Failed, w=104\",\"Find(6)=1, Find(7)=1, Add (6,7)=62 Failed, w=104\",\"Find(1)=1, Find(7)=1, Add (1,7)=70 Failed, w=104\",\"Find(2)=1, Find(5)=1, Add (2,5)=82 Failed, w=104\",\"Find(0)=1, Find(5)=1, Add (0,5)=88 Failed, w=104\",\"Find(0)=1, Find(6)=1, Add (0,6)=89 Failed, w=104\",\"Find(4)=1, Find(5)=1, Add (4,5)=90 Failed, w=104\",\"Find(3)=1, Find(7)=1, Add (3,7)=93 Failed, w=104\",\"Find(4)=1, Find(7)=1, Add (4,7)=97 Failed, w=104\",\"Find(2)=1, Find(3)=1, Add (2,3)=99 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,22],[0,3,57],[0,4,7],[0,5,88],[0,6,89],[0,7,33],[1,2,4],[1,4,15],[1,5,10],[1,6,59],[1,7,70],[2,3,99],[2,4,36],[2,5,82],[2,6,12],[2,7,31],[3,4,56],[3,5,54],[3,6,25],[3,7,93],[4,5,90],[4,6,62],[4,7,97],[5,6,43],[6,7,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=4,(0,4)=7,(1,5)=10,(2,6)=12,(1,4)=15,(0,1)=22,(3,6)=25,(2,7)=31,(0,7)=33,(2,4)=36,(5,6)=43,(3,5)=54,(3,4)=56,(0,3)=57,(1,6)=59,(4,6)=62,(6,7)=62,(1,7)=70,(2,5)=82,(0,5)=88,(0,6)=89,(4,5)=90,(3,7)=93,(4,7)=97,(2,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=7 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 1, 6: 6, 7: 7}, Find(1)=1, Find(5)=5, Add (1,5)=10 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 1, 6: 1, 7: 7}, Find(2)=1, Find(6)=6, Add (2,6)=12 Succeeded, w=33\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 0, 5: 1, 6: 1, 7: 7}, Find(1)=1, Find(4)=0, Add (1,4)=15 Succeeded, w=48\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 0, 5: 1, 6: 1, 7: 7}, Find(0)=1, Find(1)=1, Add (0,1)=22 Failed, w=48\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1, 7: 7}, Find(3)=3, Find(6)=1, Add (3,6)=25 Succeeded, w=73\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(7)=7, Add (2,7)=31 Succeeded, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=33 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(4)=1, Add (2,4)=36 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(6)=1, Add (5,6)=43 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(5)=1, Add (3,5)=54 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=56 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(3)=1, Add (0,3)=57 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(6)=1, Add (1,6)=59 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(6)=1, Add (4,6)=62 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=62 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=70 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=82 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=88 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(6)=1, Add (0,6)=89 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(5)=1, Add (4,5)=90 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=93 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=97 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(3)=1, Add (2,3)=99 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,10],[0,3,95],[0,4,47],[0,5,50],[0,6,67],[0,7,56],[1,2,89],[1,3,97],[1,4,73],[1,6,87],[2,3,33],[2,6,0],[3,4,61],[3,6,48],[3,7,98],[4,5,25],[4,7,49],[5,6,46],[5,7,49]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,3,95],[0,4,47],[0,5,50],[0,6,67],[0,7,56],[1,2,89],[1,3,97],[1,4,73],[1,6,87],[2,3,33],[2,6,0],[3,4,61],[3,6,48],[3,7,98],[4,5,25],[4,7,49],[5,6,46],[5,7,49]]}",
"role": "user"
},
{
"content": "{\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,3,95],[0,4,47],[0,5,50],[0,6,67],[0,7,56],[1,2,89],[1,3,97],[1,4,73],[1,6,87],[2,3,33],[2,6,0],[3,4,61],[3,6,48],[3,7,98],[4,5,25],[4,7,49],[5,6,46],[5,7,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (0,1)\",\"Add (4,5)\",\"Add (2,3)\",\"Add (5,6)\",\"Add (0,4)\",\"Add (4,7)\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,3,95],[0,4,47],[0,5,50],[0,6,67],[0,7,56],[1,2,89],[1,3,97],[1,4,73],[1,6,87],[2,3,33],[2,6,0],[3,4,61],[3,6,48],[3,7,98],[4,5,25],[4,7,49],[5,6,46],[5,7,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=0, w=0\",\"Add (0,1)=10, w=10\",\"Add (4,5)=25, w=35\",\"Add (2,3)=33, w=68\",\"Add (5,6)=46, w=114\",\"Add (0,4)=47, w=161\",\"Add (4,7)=49, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,3,95],[0,4,47],[0,5,50],[0,6,67],[0,7,56],[1,2,89],[1,3,97],[1,4,73],[1,6,87],[2,3,33],[2,6,0],[3,4,61],[3,6,48],[3,7,98],[4,5,25],[4,7,49],[5,6,46],[5,7,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=0 Succeeded, w=0\",\"Add (0,1)=10 Succeeded, w=10\",\"Add (4,5)=25 Succeeded, w=35\",\"Add (2,3)=33 Succeeded, w=68\",\"Add (5,6)=46 Succeeded, w=114\",\"Add (0,4)=47 Succeeded, w=161\",\"Add (3,6)=48 Failed, w=161\",\"Add (4,7)=49 Succeeded, w=210\",\"Add (5,7)=49 Failed, w=210\",\"Add (0,5)=50 Failed, w=210\",\"Add (0,7)=56 Failed, w=210\",\"Add (3,4)=61 Failed, w=210\",\"Add (0,6)=67 Failed, w=210\",\"Add (1,4)=73 Failed, w=210\",\"Add (1,6)=87 Failed, w=210\",\"Add (1,2)=89 Failed, w=210\",\"Add (0,3)=95 Failed, w=210\",\"Add (1,3)=97 Failed, w=210\",\"Add (3,7)=98 Failed, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,3,95],[0,4,47],[0,5,50],[0,6,67],[0,7,56],[1,2,89],[1,3,97],[1,4,73],[1,6,87],[2,3,33],[2,6,0],[3,4,61],[3,6,48],[3,7,98],[4,5,25],[4,7,49],[5,6,46],[5,7,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=0,(0,1)=10,(4,5)=25,(2,3)=33,(5,6)=46,(0,4)=47,(3,6)=48,(4,7)=49,(5,7)=49,(0,5)=50,(0,7)=56,(3,4)=61,(0,6)=67,(1,4)=73,(1,6)=87,(1,2)=89,(0,3)=95,(1,3)=97,(3,7)=98]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=0 Succeeded, w=0\",\"Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=10\",\"Find(4)=4, Find(5)=5, Add (4,5)=25 Succeeded, w=35\",\"Find(2)=2, Find(3)=3, Add (2,3)=33 Succeeded, w=68\",\"Find(5)=4, Find(6)=2, Add (5,6)=46 Succeeded, w=114\",\"Find(0)=0, Find(4)=4, Add (0,4)=47 Succeeded, w=161\",\"Find(3)=4, Find(6)=4, Add (3,6)=48 Failed, w=161\",\"Find(4)=4, Find(7)=7, Add (4,7)=49 Succeeded, w=210\",\"Find(5)=4, Find(7)=4, Add (5,7)=49 Failed, w=210\",\"Find(0)=4, Find(5)=4, Add (0,5)=50 Failed, w=210\",\"Find(0)=4, Find(7)=4, Add (0,7)=56 Failed, w=210\",\"Find(3)=4, Find(4)=4, Add (3,4)=61 Failed, w=210\",\"Find(0)=4, Find(6)=4, Add (0,6)=67 Failed, w=210\",\"Find(1)=4, Find(4)=4, Add (1,4)=73 Failed, w=210\",\"Find(1)=4, Find(6)=4, Add (1,6)=87 Failed, w=210\",\"Find(1)=4, Find(2)=4, Add (1,2)=89 Failed, w=210\",\"Find(0)=4, Find(3)=4, Add (0,3)=95 Failed, w=210\",\"Find(1)=4, Find(3)=4, Add (1,3)=97 Failed, w=210\",\"Find(3)=4, Find(7)=4, Add (3,7)=98 Failed, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,10],[0,3,95],[0,4,47],[0,5,50],[0,6,67],[0,7,56],[1,2,89],[1,3,97],[1,4,73],[1,6,87],[2,3,33],[2,6,0],[3,4,61],[3,6,48],[3,7,98],[4,5,25],[4,7,49],[5,6,46],[5,7,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=0,(0,1)=10,(4,5)=25,(2,3)=33,(5,6)=46,(0,4)=47,(3,6)=48,(4,7)=49,(5,7)=49,(0,5)=50,(0,7)=56,(3,4)=61,(0,6)=67,(1,4)=73,(1,6)=87,(1,2)=89,(0,3)=95,(1,3)=97,(3,7)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 4, 6: 2, 7: 7}, Find(4)=4, Find(5)=5, Add (4,5)=25 Succeeded, w=35\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4, 5: 4, 6: 2, 7: 7}, Find(2)=2, Find(3)=3, Add (2,3)=33 Succeeded, w=68\",\"Parent: {0: 0, 1: 0, 2: 4, 3: 2, 4: 4, 5: 4, 6: 2, 7: 7}, Find(5)=4, Find(6)=2, Add (5,6)=46 Succeeded, w=114\",\"Parent: {0: 4, 1: 0, 2: 4, 3: 2, 4: 4, 5: 4, 6: 2, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=47 Succeeded, w=161\",\"Parent: {0: 4, 1: 0, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 7}, Find(3)=4, Find(6)=4, Add (3,6)=48 Failed, w=161\",\"Parent: {0: 4, 1: 0, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=49 Succeeded, w=210\",\"Parent: {0: 4, 1: 0, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(5)=4, Find(7)=4, Add (5,7)=49 Failed, w=210\",\"Parent: {0: 4, 1: 0, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(5)=4, Add (0,5)=50 Failed, w=210\",\"Parent: {0: 4, 1: 0, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(7)=4, Add (0,7)=56 Failed, w=210\",\"Parent: {0: 4, 1: 0, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(4)=4, Add (3,4)=61 Failed, w=210\",\"Parent: {0: 4, 1: 0, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(6)=4, Add (0,6)=67 Failed, w=210\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(4)=4, Add (1,4)=73 Failed, w=210\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(6)=4, Add (1,6)=87 Failed, w=210\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(2)=4, Add (1,2)=89 Failed, w=210\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(0)=4, Find(3)=4, Add (0,3)=95 Failed, w=210\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(1)=4, Find(3)=4, Add (1,3)=97 Failed, w=210\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4, 7: 4}, Find(3)=4, Find(7)=4, Add (3,7)=98 Failed, w=210\"],\"Answer\":210}",
"role": "assistant"
}
]
|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,22],[0,2,78],[0,3,25],[0,4,100],[1,3,85],[1,4,97],[2,3,34],[2,4,66],[2,5,44],[3,4,43],[3,5,15],[4,5,51]]} | [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,22],[0,2,78],[0,3,25],[0,4,100],[1,3,85],[1,4,97],[2,3,34],[2,4,66],[2,5,44],[3,4,43],[3,5,15],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,22],[0,2,78],[0,3,25],[0,4,100],[1,3,85],[1,4,97],[2,3,34],[2,4,66],[2,5,44],[3,4,43],[3,5,15],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (0,1)\",\"Add (0,3)\",\"Add (2,3)\",\"Add (3,4)\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,22],[0,2,78],[0,3,25],[0,4,100],[1,3,85],[1,4,97],[2,3,34],[2,4,66],[2,5,44],[3,4,43],[3,5,15],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=15, w=15\",\"Add (0,1)=22, w=37\",\"Add (0,3)=25, w=62\",\"Add (2,3)=34, w=96\",\"Add (3,4)=43, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,22],[0,2,78],[0,3,25],[0,4,100],[1,3,85],[1,4,97],[2,3,34],[2,4,66],[2,5,44],[3,4,43],[3,5,15],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=15 Succeeded, w=15\",\"Add (0,1)=22 Succeeded, w=37\",\"Add (0,3)=25 Succeeded, w=62\",\"Add (2,3)=34 Succeeded, w=96\",\"Add (3,4)=43 Succeeded, w=139\",\"Add (2,5)=44 Failed, w=139\",\"Add (4,5)=51 Failed, w=139\",\"Add (2,4)=66 Failed, w=139\",\"Add (0,2)=78 Failed, w=139\",\"Add (1,3)=85 Failed, w=139\",\"Add (1,4)=97 Failed, w=139\",\"Add (0,4)=100 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,22],[0,2,78],[0,3,25],[0,4,100],[1,3,85],[1,4,97],[2,3,34],[2,4,66],[2,5,44],[3,4,43],[3,5,15],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=15,(0,1)=22,(0,3)=25,(2,3)=34,(3,4)=43,(2,5)=44,(4,5)=51,(2,4)=66,(0,2)=78,(1,3)=85,(1,4)=97,(0,4)=100]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=15 Succeeded, w=15\",\"Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=37\",\"Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=62\",\"Find(2)=2, Find(3)=0, Add (2,3)=34 Succeeded, w=96\",\"Find(3)=0, Find(4)=4, Add (3,4)=43 Succeeded, w=139\",\"Find(2)=0, Find(5)=0, Add (2,5)=44 Failed, w=139\",\"Find(4)=0, Find(5)=0, Add (4,5)=51 Failed, w=139\",\"Find(2)=0, Find(4)=0, Add (2,4)=66 Failed, w=139\",\"Find(0)=0, Find(2)=0, Add (0,2)=78 Failed, w=139\",\"Find(1)=0, Find(3)=0, Add (1,3)=85 Failed, w=139\",\"Find(1)=0, Find(4)=0, Add (1,4)=97 Failed, w=139\",\"Find(0)=0, Find(4)=0, Add (0,4)=100 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
| [
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,22],[0,2,78],[0,3,25],[0,4,100],[1,3,85],[1,4,97],[2,3,34],[2,4,66],[2,5,44],[3,4,43],[3,5,15],[4,5,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=15,(0,1)=22,(0,3)=25,(2,3)=34,(3,4)=43,(2,5)=44,(4,5)=51,(2,4)=66,(0,2)=78,(1,3)=85,(1,4)=97,(0,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 3}, Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=37\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 3}, Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=62\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 3}, Find(2)=2, Find(3)=0, Add (2,3)=34 Succeeded, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3}, Find(3)=0, Find(4)=4, Add (3,4)=43 Succeeded, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=44 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=51 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=66 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=78 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=85 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=97 Failed, w=139\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=100 Failed, w=139\"],\"Answer\":139}",
"role": "assistant"
}
]
|
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